Question

A process of manufacturing yields items of which 1% are defective . A quality control plan is to select 100 items from the process, and if less than 2 are defective, the process continues. USE the normal approximation to the binomial to find the prob. that the process continues fives the sampling described.

Answer 1

This is a binomial distribution question with
n = 100
p = 0.01
q = 1 - p = 0.99
This binomial distribution can be approximated as Normal distribution since
np > 5 and nq > 5
Since we know that

P(x < 2.0)=?
The z-score at x = 2.0 is,

z = 1.005
This implies that

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