8.19) A sensor is used to monitor the performance of a nuclear reactor. The sensor accurately reflects the state of the reactor with a probability of.97 But with a probability of .02 it gives a false alarm (by reporting excessive radiation even though the reactor is performing normally), and with a probability of .01 it misses excessive radiation (by failing to report excessive radiation even though the reactor is performing abnormally)
a) What is the probability that a sensor will give an incorrect report, that is, either a false alarm or a miss?
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When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the dice is 8. (Round answer to four decimals.)
Question 2
A card is drawn at random from a standard 52-card deck. Find the probability that the card is not a queen. (Round answer to four decimals.)
Question 3
A lottery game has balls numbered 1 through 15. What is the probability of selecting an even numbered ball or an 8? (Round answer to four decimals)
Question 4
A class consists of 65 women and 18 men. If a student is randomly selected, what is the probability that the student is a man?(Round answer to four decimals.)
Question 5
A single die is rolled one time. Find the probability of rolling an odd number or a number less than 5. (Round answer to four decimals.)
Question 6
The odds in favor of Carl beating his friend in a round of golf are 7 : 2. Find the probability that Carl will beat his friend. (Round answer to four decimals or type answer in ratio form or type answer as a fraction)
Question 7
The odds in favor of Trudy beating her friend in a round of golf are 1 : 6. Find the probability that Trudy will lose. (Round answer to four decimals or type answer in ratio form or type answer as a fraction)
Question 8
The odds against Carl beating his friend in a round of golf are 5 : 2. Find the probability that Carl will lose. (Round answer to four decimals or type answer in ratio form or type answer as a fraction)
Question 9
A card is drawn at random from a standard 52-card deck. Find the probability that the card is neither an ace nor a heart. (Round answer to four decimals.)
Question 10
A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a 4? (Round answer to four decimals.)
Question 11
A class consists of 65 women and 18 men. If a student is randomly selected, what is the probability that the student is a woman? (Round answer to four decimals)
Question 12
A lottery game has balls numbered 1 through 15. What is the probability of selecting an even numbered ball or a 8? (Round answer to four decimals.)
Question 13
Two fair dice are rolled. Find the probability that the sum of the two numbers is not greater than 5. (Round answer to four decimals.)
Question 14
A card is drawn at random from a standard 52-card deck. Find the probability that the card is not a queen. (Round answer to four decimals.)
Question 15
The results of a medical test show that of 115 people selected at random who were given the test, 5 tested positive and 110 tested negative. Determine the odds in favor of a person selected at random testing positive on the test. ( Write the answer as a fraction or ratio or round 4 decimals.)
Question 16
The results of a medical test show that of 115 people selected at random who were given the test, 5 tested positive and 110 tested negative. Determine the odds in against of a person selected at random testing positive on the test. (Write the answer as a fraction or ratio or round 4 decimals.)
Question 17
In a certain town, 20% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bicycle? (Round answer to nearest whole number, write as a fraction, or a ratio.)
Question 18
In a certain town, 20% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds in favor of selecting someone who commutes by bicycle? (Round answer to nearest whole number, decimal rounded to 2 decimals, write as a fraction, or as a ratio.)
Question 19
A sports shop sold tennis rackets in 2 different weights, 3 types of string, and 4 grip sizes. How many different rackets could they sell?(Type answer as a whole number.)
Question 20
An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul. In how many ways can the people be presented? (Type answer as a whole number.)
Question 21
If the police have 8 suspects, how many different ways can they select 5 for a lineup? (Type answer as a whole number.)
Question 22
If the police have 8 suspects, how many different ways can they select 5 for a lineup based on height? (Type answer as a whole number.)
Question 23
A bag contains 7 apples and 5 oranges. If you select 6 pieces of fruit without looking, how many ways can you get 6 apples? (Type answer as a whole number.)
Question 24
How many ways are there of getting exactly one die showing a 3 when a die is rolled twice? (Type answer as a whole number.)
Question 25
One card is selected from a deck of cards. Find the probability of selecting a black card or a king. (Round answer to four decimals.)
Question 26
One card is selected from a deck of cards. Find the probability of selecting a diamond or a card less than 7. (Round answer to four decimals.)
Question 27
If P(A) = 0.5, P(B) = 0.4, and P(A or B) = 0.7, find P(A and B). (Round answer to one decimal.)
Question 28
If P(A) = 0.1, P(B) = 0.1, and P(A and B) = 0, find P(A or B). (Round answer to one decimal.) Flag question: Question 29Question 291 ptsIf P(B) = 0.3, P(A or B) = 0.4, and P(A and B) = 0.5, find P(A). (Round answer to one decimal.)
Question 52
If you are dealt two cards successively (with replacement of the first) from a standard 52-card deck, find the probability of getting a face card on the first card and an ace on the second. ( Round to 4 decimals )
Question 53
When arriving at the traffic light closest to your home, there is a 25% chance that the light will be red. Find the probability that the light will be red. (Round to the nearest tenth.)
Question 54
While this assignment was being created, Weather.com indicated that there is a 20% chance of rain for your home region. Find the probability that there is a chance that it will rain in your home region. (Round to the nearest hundredth.)
Question 55
When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas. Based on those results, find the probability of getting an offspring pea that is green. ( Round to 4 decimals )
Question 56
One digit from the number 6,787,997 is written on each of seven cards. What is the probability of drawing a card that shows 6 or 9? ( Round to 4 decimals )
Question 57
If two cards are drawn without replacement from a deck, find the probability that the second card is a spade, given that the first card was a spade. ( Round to 4 decimals )
Question 58
How many three-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed? (Type answer as a whole number.)
Question 59
In how many ways can the letters in the word PAYMENT be arranged if the letters are taken 4 at a time? (Type answer as a whole number.)
Question 60
Find the percentile for the data value. (Type answer as a whole number.)
Find the percentile for the data value. (Type answer as a whole number.)
Data set: 51, 31, 47, 69, 73, 71, 30;
Data value: 51
Question 621 pts
A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical stores. Using this estimate, what is that probability that a a randomly selected online customer lives within 50 miles of a physical store? (Round answer to the nearest hundredths.)
Question 63
If 81% of scheduled flights actually take place and cancellations are independent events, what is the probability that 3 separate flights will take place? (Round answer to the nearest hundredths.)
Question 64
A basketball player hits three-point shots 43% of the time. If she takes 4 shots during a game, what is the probability that she misses the first shot and hits the last three shots? (Round answer to the nearest hundredths.)
Question 65
You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are black. ( Round to 4 decimals )
Question 66
You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen. ( Round to 4 decimals )
Question 67
Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability that both marbles are white. ( Round to 4 decimals )
Question 68
If two cards are drawn without replacement from a deck, find the probability that the second card is a face card, given that the first card was a queen. ( Round to 4 decimals )
Question 69
If two cards are drawn without replacement from a deck, find the probability that the second card is an ace, given that the first card was an ace. ( Round to 4 decimals )
Question 70
In a data set with a range of 55.4 to 105.4 and 400 observations, there are 276 observations with values less than 86. Find the percentile for 86. (Round answer to the nearest hundredths.)
Question 71
The weights (in pounds) of 30 newborn babies are listed below. Find P16
5.5 5.7 5.8 5.9 6.1 6.1 6.4 6.4 6.5 6.6
6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2
7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7
Question 72
The weights (in pounds) of 30 newborn babies are listed below. Find Q1
5.5 5.7 5.8 5.9 6.1 6.1 6.4 6.4 6.5 6.6
6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2
7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7
Question 73
An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer. (Round answer to the nearest thousandths)
Question 74
One measure of air travel safety is this: There are 117 fatalities per billion passenger flights. Is it Likely or Unlikely for an air passenger to be fatality? (Check your spelling!)
Question 75
In a survey, 169 respondents say that they never use a credit card, 12527 say that they use it sometimes, and 2834 say that they use it frequently. Find the probability that a randomly selected person uses a credit card frequently (Round to 4 decimals) then take that result and decide whether it is Likely or Unlikely (ONLY TYPE IN THE WORD!) for someone to use a credit card frequently. (Check your spelling!)
Question 89
A classic counting problem is to determine the number of different ways that the letters of “Mississippi” can be arranged. Find that number.
Question 90
How many different ways can the letters in the word “statistics” be arranged? Find that number.
Question 91
The Teknomill Corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a Planning Committee with four different members. There are 12 qualified candidates, and officers can also serve on the committee.
How many different ways can the officers be appointed?
Question 92
The Teknomill Corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a Planning Committee with four different members. There are 12 qualified candidates, and officers can also serve on the committee.
How many different ways can the committee be appointed?
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Enjoy Please Note-You have come to the most reliable academic writing site that will sort all assignments that that you could be having. We write essays, research papers, term papers, research When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the dice is 8
Don’t use the numbers in this example post in your post. Please make sure all posts are unique and use different numbers.
It is important to go back and read follow up responses from your instructor.
Example
Let’s look at a standard deck of 52 cards.
What is the probability of getting 2 kings assuming that the first one is not replaced?
4/52 * 3/51 = 1/13*1/17= 1/221
What is the probability of getting 2 kings assuming that the first one is replaced?
4/52 * 4/52 = 1/13 * 1/13 = 1/169
Instructions
Now for your main post do a similar problem using with replacement and without replacement. You can use a card problem as long as it is not 2 kings. Try your best to be original. Do not solve your own problems. Leave them for your classmates to work
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Enjoy Please Note-You have come to the most reliable academic writing site that will sort all assignments that that you could be having. We write essays, research papers, term papers, research What is the probability of getting 2 kings assuming that the first one is not replaced?
Don’t use the numbers in this example post in your post. Please make sure all posts are unique and use different numbers.
Review the criteria for a binomial in excel by going to content, week 4, learning material and looking at the 4 items on binomial below Readings and Resources before selecting your problem.
Example
a) On this example we will examine the probability a couple who has 8 children has exactly 5 boys.
b) Next we will look at the probability that they have more than 5 boys.
c) Finally we will look at the probability that they have at most 5 boys.
Assume a .5 chance of having a boy.
Solution can be solved using excel.
a) On this example we will examine the probability a couple who has 8 children has exactly 5 boys.
Type this in an excel cell
=binom.dist(5,8,.5,False)
and then hit enter
.21875 would be the answer
b) Next we will look at the probability that they have more than 5 boys.
Type this in an excel cell
=1-binom.dist(5,8,.5,True)
and then hit enter
.144531 would be the answer
c) Finally we will look at the probability that they have at most 5 boys.
Assume a .5 chance of having a boy.
Type this in an excel cell
=binom.dist(5,8,.5,True)
and hit enter
.855469 would be the answer
Instructions:
For your post you will make up a problem similar to this example. Try to have at least 3 scenarios. You will not solve your own problem
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Enjoy Please Note-You have come to the most reliable academic writing site that will sort all assignments that that you could be having. We write essays, research papers, term papers, research On this example we will examine the probability a couple who has 8 children has exactly 5 boys
STATISTICAL ANALYSIS (MAT10251) ASSESSMENT 2 – CALCULATIONS AND SHORT WRITTEN RESPONSES (30%) INSTRUCTIONS Perform and show the required calculations, present your findings, and prepare short written responses to the following questions. Please submit your answers in a single file. Question 1 – Basic Probability (10 marks) According to a recent study, 9 out of 10 parents have helped their adult children with some financial assistance. The following table shows the number of times parents have given their adult children financial assistance to buy a car and to pay the rent. Pay the rent Yes No Buy a car Yes 90 50 No 10 150 a. Develop a joint probability table. (2 marks) b. Using the marginal probabilities for ‘buy a car’ and ‘pay the rent’, are parents more likely to assist their adult children with buying a car or paying the rent? What is your interpretation of the marginal probabilities? (2 marks) c. If parents provided financial assistance to buy a car, what is the probability that the parents assisted with paying rent? (2 marks) d. If parents did not provide financial assistance to buy a car, what is the probability that the parents assisted with paying rent? (2 marks) e. What is the probability that parents provided financial assistance for their adult children by either helping to buy a car or pay rent? (2 marks) Question 2 – Normal Distribution (10 marks) The time needed to complete a final examination in a particular college course is normally distributed with a mean of 160 minutes and a standard deviation of 20 minutes. Answer the following questions: a. What is the probability of completing the exam in 120 minutes or less? (2 marks) b. What is the probability that a student will complete the exam in more than 120 minutes but less than 150 minutes? (2 marks) c. What is the probability that a student will complete the exam in more than 100 minutes but less than 170 minutes? (2 marks) d. Assume that the class has 120 students and that the examination period is 180 minutes in length. How many students do you expect will be unable to complete the examination in the allotted time? (4 marks) 1 Question 3 – Sampling Distribution (10 marks) The Economics Policy Institute periodically issues reports on wages of entry-level workers. The Institute reported that entry-level wages for male college graduates were $43.36 per hour, and for female college graduates were $37.60 per hour. Assume the standard deviation for male graduates is $2.30 and for female graduates is $2.05. a. What is the probability that a sample of 50 male graduates will provide a sample mean within $0.50 of the population mean, $43.36? (3 marks) b. What is the probability that a sample of 50 female graduates will provide a sample mean within $0.50 of the population mean, $37.60? (3 marks) c. In which of the preceding two cases, part (a) or part (b), do we have a higher probability of obtaining a sample estimate within $0.50 of the population mean? Why? (2 marks) d. What is the probability that a sample of 120 female graduates will provide a sample mean more than $0.30 below the population mean? (2 marks) 2