ZuoTi.Pro
Question

Problem 6 Five applicants for a job are ranked according to ability, with being the best. These rankings are unknown to an employer, who simply hires two applicants at random. What is the probability that this employer hires exactly one of the two best applicants? Problem 7 Five motors ( through 5) are available for use, and motor 2 is defective. Motors 1 and 2 come from supplier I, and motors 3, 4, and 5 come from supplierIL. Suppose two motors are randomly selected for use on a particular day (each motor equally likely to be chosen). Let A denote the event that the defective motor is selected and B the event that at least one motor comes from supplierI. Find P(A) and P(B). Use a tree diagram to examine the possible combinations. Problem 8 A large box of fuses contains 10% defectives. Four fuses are randomly selected from the box. Find: a) Probability that exactly one fuse is defective b) Probability that at least one fuse of the four selected is defective Now suppose these four sampled fuses are shipped to a customer before being tested. Assume the cost of fixing a shipment with defective fuses is given by C- 3Y2 where Y is the number of defectives in the shipment of four. Find the expected repair cost E(C)-E(3Y)
Problem 11 Your turn. Write a Matlab program to numerically solve Problem 6. Simulate the random selection of two applicants (out of five) and evaluate whether exactly one of the top two are hired. Do this 1,000 times (use a loop) and use the 1,000 outcomes to calculate the probability asked for in Problem 6. Compare the result to the analytical answer you got in Problem 6. Probability Investigate the Matlab built-in function randperm before you create your algorithm. For example, » x = randperm(5) gives you a vector x that contains the integers 1, 2, 3, 4, 5 (exactly one of each, no repeats) in a random order. So you can just pick off the first two out of five and call those your random selections out of 5 applicants. See me if you have issues getting started The result of your 1,000 outcomes provides a single estimate of the probability. If you run the 1,000 outcomes again, you get a second estimate of the probability, and they wont match. You can estimate the confidence interval by running the 1,000 outcomes many times, sorting the resultant probabilities, and setting bounds. For this problem, generate 1,000 samples of the probability (run the 1,000 outcome experiment 1,000 times).So te 1000 probability estimates (sort), and throw away the lowest 25 and highest 25 probability values (the lowest 2.5% and highest 2.5%). The remaining lowest and highest probability values are your 95% confidence interval. Provide this confidence interval: 95% confidence interval- Finally, repeat the above paragraph. This time set your program to run 5,000 outcomes to get a single estimate of probability. Do this 1,000 times and calculate the 95% confidence interval Did the confidence interval change? Why?
math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Problem he number of ways 2 applicants ean be selected fmapplicants is 10 2 The 。al number of elementary Let, A denotes the evenrrna one of the enployer hires exae bwo best applieanrs To find the otal number of elemenhamy events favournble Ho A one appli cant is selected fom hwo best appLieants which can be done in (2) way s and #rhe orher afpUeanfis selecte d fro m rhe ornen thnee applicants which can be done Way s The otel mumber of eleme ntary events favourable h A is Required prrobabiuih P(A)MA) 63 5

0 0
Add a comment
Know the answer?
Add Answer to:
Problem 6 Five applicants for a job are ranked according to ability, with being the best....
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Problem 8 A large box of fuses contains 10% defectives. Four fuses are randomly selected from...

    Problem 8 A large box of fuses contains 10% defectives. Four fuses are randomly selected from the box. Find: a) Probability that exactly one fuse is defective b) Probability that at least one fuse of the four selected is defective Now suppose these four sampled fuses are shipped to a customer before being tested. Assume the cost of fixing' a shipment with defective fuses is given by C- 3Y2 where Y is the number of defectives in the shipment of...

  • 24. SELECTION oF PUBLic HOUSING APPLICANTS The City Housing Authority has received 50 applications from qualified applicants for eight low-income apartments. Three of the apartments are on the north...

    24. SELECTION oF PUBLic HOUSING APPLICANTS The City Housing Authority has received 50 applications from qualified applicants for eight low-income apartments. Three of the apartments are on the north side of town, and five are on the south side. If the apartments are to be assigned by means of a lottery, what is the probability that: a. A specific qualified applicant will be selected for one of these apartments? b. Two specific qualified applicants will be selected for apartments on...

  • Problem 2 A batch of 500 Johnson rods contains five that are defective. Two are selected...

    Problem 2 A batch of 500 Johnson rods contains five that are defective. Two are selected at random from the batch Do you think the probability of the selection of defective (or nondefective, for that matter) Johnson rods is independent? Why? What is the probability that the second one selected is defective given that the first one was defective? What is the probability that both are defective? What is the probability that both are nondefective? a. b. c. d.

  • PROBLEM # PAGE1 Forty percent of a group of people are female and sixty democrats and...

    PROBLEM # PAGE1 Forty percent of a group of people are female and sixty democrats and 48% of males are democrats. A person is randomly selected from the group. (A) [10 points) What is the probability that the selected person is a democrat? (B) (10 points] If the person selected is found to be a democrat, what is the probability that this person is male? (C) (10 points) What is the probability that the person selected is a female democrat?...

  • Problem 6: On a very hot summer day, 5 percent of the production employees at Midland...

    Problem 6: On a very hot summer day, 5 percent of the production employees at Midland Stalies Steel are abit from work. The production employees are to be selected at random for a special in-depth study on absenteeism a) What is the probability of selecting 10 production none of them are absent? employees at random on a hot summer day and finding tha What is the probability of selecting 10 production employees at random on a hot summer day and...

  • The chances of a tax return being audited are about 22 in 1,000 if an income...

    The chances of a tax return being audited are about 22 in 1,000 if an income is less than​$100,000 and 31 in 1,000 if an income is​ $100,000 or more. Complete parts a through e. a. What is the probability that a taxpayer with income less than​ $100,000 will be​ audited? With income of​ $100,000 or​ more? P(taxpayer with income less than $100,000 is audited)=_____________(Type an integer or a​ decimal.) What is the probability that a taxpayer with income of​...

  • You have been hired by Ford Motor Company to do market research and you must estimate...

    You have been hired by Ford Motor Company to do market research and you must estimate the percentage of households in which a vehicle is owned. How many households must you survey if you want to be 94% confident that your sample percentage has a margin of error within 0.03?                                                                                                                                                               (5) The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $1 If 300 utility bills are randomly...

  • The chances of a tax return being audited are about 22 in1,000 if an income is...

    The chances of a tax return being audited are about 22 in1,000 if an income is less than​$100,000 and 31 in 1,000 if an income is​ $100,000 or more. Complete parts a through e. a. What is the probability that a taxpayer with income less than​ $100,000 will be​ audited? With income of​ $100,000 or​ more? P(taxpayer with income less than $100,000 is audited)=_______________​(Type an integer or a​ decimal.) What is the probability that a taxpayer with income of​ $100,000...

  • 5. Use the propenties of the gamma function to t( poimts a. (a) r(S) (b) rz) 6 A long traffic light on your morning commute is green 20% of the time that you approach it. Assume that cach morning...

    5. Use the propenties of the gamma function to t( poimts a. (a) r(S) (b) rz) 6 A long traffic light on your morning commute is green 20% of the time that you approach it. Assume that cach morning represents an independent r [10 points (a) Over 5 morning, what is the probability that the light is green on exactly one day? (b) Over 20 mornings, what is the probability that the light is green on exactly four days? 7....

  • Can Anyone help me with these 7 questions? Questions: Q1. A random sample has been taken...

    Can Anyone help me with these 7 questions? Questions: Q1. A random sample has been taken from a normal distribution and the following confidence intervals constructed using the same data: (38.02, 61.98) and (39.95, 60.05) (a) What is the value of the sample mean? (b) One of these intervals is a 95% CI and the other is a 90% CI. Which one is the 95% CI? Why? Q2. A civil engineer is analyzing the compressive strength of concrete. Compressive strength...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT