statistics

posted by .

A production process historically produces 95% items that are considered acceptable quality-wise and 5% that are defective.A sample of 50 items is taken. Determine the following probablities:
Probability that exactly 47 items will be good.

  • statistics -

    Try a binomial probability table or use a binomial probability function, which is this:

    P(x) = (nCx)(p^x)[q^(n-x)]
    x = 47
    n = 50
    p = .95
    q = .05 (q is 1-p)

    I'll let you take it from here.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. statistics

    a machine used in a production process is set up correctly 97% of the time. Given that the machine is set up correctly, only 5% of the items it produces are defective, while 95% are not defective. On the other hand, if the machine …
  2. EEE

    the solve of the shipment of 10 items has 2 items defective and 8 items are non defective.IN THE inspection of the shipment a sample of items will be selected and tested.if a defective items is found the shipment of 10 items will rejected.in …
  3. statistics

    A machine used in a production process is set up correctly 97% of the time. Given that the machine is set up correctly, only 5% of its items it produces are defective, while 95% are not defective. On the other hand, if the machine …
  4. Statistics

    A production process produces an item. In a recent study, the company found that 20% of all items produced were defective. Each item is inspected before being shipped. 10% of the items were misclassified( labeled as defective when …
  5. Stats

    A production process produces an item. In a recent study, the company found that 20% of all items produced were defective. Each item is inspected before being shipped. 10% of the items were misclassified( labeled as defective when …
  6. Statistics

    A box contains 10 items, of which 3 are defective and 7 are non-defective. Two items are randomly selected, one at a time, with replacement, and x is the number of defective items in the sample. To look up the probability of a defective …
  7. statistics

    15. A financial consultant conducts seminars with each seminar limited to 20 attendees. Because of the small size of the seminar, and the personal attention each person receives, a large number of attendees are expected to become clients. …
  8. statistics

    in a shipment of 7 items there are three defective items. at random 4 items are selected what is the expected number of defective items?
  9. Statistics

    Suppose that the probability that an item produced by a certain machine will be defective is 0.2. A sample of 12 items is chosen. Let X be the number of defectives among the selected 12 items. (a) Find the probability of at most 1 …
  10. math/statistics

    In a manufacturing plant, three machines, A, B, and C, produce 37%, 36%, and 27%, respectively, of the total production. The company's quality-control department has determined that 1.5% of the items produced by Machine A, 2% of the …

More Similar Questions