Solution Found!
Suppose that a random sample of 25 items is selected from
Chapter 7, Problem 79E(choose chapter or problem)
Suppose that a random sample of 25 items is selected from the machine of Exercise 7.72. If the machine produces 10% defectives, find the probability that the sample will contain at least two defectives, by using the following methods:
a The normal approximation to the binomial
b The exact binomial tables
Reference
A machine is shut down for repairs if a random sample of 100 items selected from the daily output of the machine reveals at least 15% defectives. (Assume that the daily output is a large number of items.) If on a given day the machine is producing only 10% defective items, what is the probability that it will be shut down? [Hint: Use the .5 continuity correction.]
Questions & Answers
QUESTION:
Suppose that a random sample of 25 items is selected from the machine of Exercise 7.72. If the machine produces 10% defectives, find the probability that the sample will contain at least two defectives, by using the following methods:
a The normal approximation to the binomial
b The exact binomial tables
Reference
A machine is shut down for repairs if a random sample of 100 items selected from the daily output of the machine reveals at least 15% defectives. (Assume that the daily output is a large number of items.) If on a given day the machine is producing only 10% defective items, what is the probability that it will be shut down? [Hint: Use the .5 continuity correction.]
ANSWER:Step 1 of 3
(a)
Denote with Y the number of defectives in the sample of n = 25.
We have that \(Y\sim Binom(25,\ 0.1)\).