Solution Found!
A lot of parts contains 500 items, 100 of which are
Chapter 4, Problem 12E(choose chapter or problem)
A lot of parts contains 500 items, 100 of which are defective. Suppose that 20 items are selected at random. Let X be the number of selected items that are defective.
a. Express the quantity P (X = 5) using factorials.
b. Use the binomial approximation to compute an approximation to P (X = 5).
Questions & Answers
QUESTION:
A lot of parts contains 500 items, 100 of which are defective. Suppose that 20 items are selected at random. Let X be the number of selected items that are defective.
a. Express the quantity P (X = 5) using factorials.
b. Use the binomial approximation to compute an approximation to P (X = 5).
ANSWER:
Answer:
Step 1 of 3:
Given, we have a lot of 500 items, in that 100 are defectives and 20 items are chosen at random to be tested.
Let X = number of selected items that are defectives.
Let X follows Hypergeometric distribution with probability mass function is
P(x) =
X~H(500, 100, 20).
From the given problem, N = 500, K = 100 and n = 20