statistics

posted by .

Use Bayes' theorem to solve this problem. A storeowner purchases stereos from two companies. From Company A, 150 stereos are purchased and 7% are found to be defective. From Company B, 900 stereos are purchased and 9% are found to be defective. Given that a stereo is defective, find the probability that it came from Company A.

Is the answer 7/61 = .11475?

  • statistics -

    Of the defective stereos on hand, 10.5 were probably from A and 81 probably from B.

    10.5/91.5 are from A. That equals 7/61.

    To get the answer with Bayes' theorem,
    P(y|x) = P(x|y)*P(y)/P(x)
    P(x) = probability it is defective regardless of source = 91.5/1050
    P(y) = probability it is from A, defective or not = 150/1050
    P(x|y) = probability that it is defective, if from A = 0.07
    P(y|x) = probability it is from A, if defective
    = .07* (150/91.5) = .11475..

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Accounting

    Redmon Company uses a sales journal, a purchases journal, a cash receipts journal, a cash disbursements journal, and a general journal. The following transactions occur in the month of June. June 1 Purchased $8,100 of merchandise on …
  2. statistics

    Use Bayes' theorem to solve this problem. A storeowner purchases stereos from two companies. From Company A, 250 stereos are purchased and 1% are found to be defective. From Company B, 950 stereos are purchased and 10% are found to …
  3. algebra

    Supply and demand. The supply and demand for the sale of stereos by Sound Ideas are given by S(x) = ex and D(x) = 162,755e−x, where S(x) is the price at which the company is willing to supply x stereos and D(x) is the demand …
  4. statistics

    Use Bayes' theorem to solve this problem. A storeowner purchases stereos from two companies. From Company A, 550 stereos are purchased and 1% are found to be defective. From Company B, 850 stereos are purchased and 6% are found to …
  5. Probability and Statistics 2

    Bad Wheels Tire Company is interested in estimating the proportion of defective tires that it produces. The company tested a sample of 500 tires and found 16 to be defective. Find a 99% upper bound confidence interval for the true …
  6. Calculus

    When an electronics store prices a certain brand of stereos at p hundred dollars per set, it is found that q sets will be sold each month, where q2 + 2 p2 = 41. a. Find the elasticity of demand for the stereos using implicit differentiation. …
  7. Calculus

    When an electronics store prices a certain brand of stereos at p hundred dollars per set, it is found that q sets will be sold each month, where q2 + 2 p2 = 41. a. Find the elasticity of demand for the stereos using implicit differentiation. …
  8. FND 154 Fundamentals of Accounting

    Harwick Company Exercise 5-2 1. on April 5, purchased merchandise from Botham Company for $23,000, terms 2/10, net/30, FOB shipping point. 2. on April 6, paid freight costs of $900 on merchandise purchased from Botham. 3.on April 7, …
  9. Statistics

    Use Bayes' theorem to solve this problem. A storeowner purchases stereos from two companies. From Company A, 550 stereos are purchased and 1% are found to be defective. From Company B, 850 stereos are purchased and 6% are found to …
  10. math

    kate and alan sell stereos. last month kate sold 24 more stereos than alan. together they sold 164. How many stereos did allan sell?

More Similar Questions