A company receives 30% of its shipments from source A and the rest from source B. For source A, the defective rate is 10% and for source B, the defective rate is 6%. The company just receives a shipment which contains 10 items. Given that the recent shipment has one defective item, determine the probability that it is from source B.

A company receives 30% of its shipments from source A and the rest from source B. For source A, the defective rate is 10% and for source B, the defective rate is 6%. The company just receives a shipment which contains 10 items. Given that the recent shipment has one defective item, determine the probability that it is from source B.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A woman plans to have two children. The probability that each child is a boy is 0.525, and the birth sexes of the two children are independent. What is the probability that she will have one child of each sex? (Round your answer to four decimal places.)
Doctors have indicated that 33% of the US population has A+ blood which is the second most common blood type. Calculate the probability that it takes exactly 4 donors before you get your first A+ donor.
A stock market analyst figures the probabilities that two related stocks, A and B, will go up in price. She finds the probability that A will go up to be 0.8 and the probability that both stocks will go up to be 0.3. What should be her estimate of the probability that stock B goes up, given that stock A goes up? (Enter your probability as a fraction.)
sod sid David, the promoter of an outdoor concert, expects a net profit of $100,000, unless it rains, which would reduce the net profit to $20,000. The probability of rain is 0.40 For a premium of $23,000 David can purchase insurance coverage that would pay him $100,000 in case of rain. Find the expected net profit when the insurance is not purchased. when the insurance is not purchased. The expected net profit will be $ Enter your answer in the answer bOX. Cip insert prt sc f12 f9 f6 fs f4 backspac & 15 6 0 4
A high school baseball player has a 0.171 batting average. In one game, he gets 7 at bats. What is the probability he will get at least 5 hits in the game?
A high school baseball player has a 0.246 batting average. In one game, he gets 8 at bats. What is the probability he will get at least 5 hits in the game?
A certain disease has an incidence rate of 0.8%. If the false negative rate is 8% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.
Sally has applied for a job at LinkedIn. There’s a 70% chance that she’ll get the job. Eric has applied for a job at Facebook. There’s a 60% chance that he’ll get the job. Assume that whether Sally gets the job at LinkedIn is independent of whether Eric gets the job at Facebook. What is the probability that neither Sally nor Eric gets the job they applied for?
To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3,400, and the commission for each new account opened is $4,900. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account. Determine the equation for computing Gustin's profit per seminar, given static values of the relevant parameters. Profit =(New accounts opened x _______)-_________ Construct a simulation model to analyze the profitability of Gustin's seminars. Would you recommend that Gustin continue running the seminars? (Use at least 1,000 trials. Round your answer to two decimal places.) What is the minimum number of attendees (in a multiple of five, i.e., 25, 30, 35, …) that Gustin needs before a seminar's average profit is greater than zero? =______ attendees
A pharmacist receives a shipment of 20 bottles of a drug and has 4 of the bottles tested. If 4 of the 20 bottles are contaminated, what is the probability that more than 1 of the tested bottles is contaminated? Express your answer as a fraction or a decimal number rounded to four decimal places.
A certain disease has an incidence rate of 0.1%. If the false negative rate is 7% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.
You purchase a brand new car for $17,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. X P(X)