Question

The fraction of nonconforming units from a manufacturing process is 0.01. A random sample of 100 units is drawn from the process. What is the probability that at most 1% of the units in the sample are nonconforming?

Answer 1

since, fraction of nonconforming units from a manufacturing process = 0.01 = p

Total sample drawn (n) = 100

Consider, X - number of nonconforming units from a manufacturing process

Since, property(conforming or nonconforming) of each units is independent.

then,

Since 1% 100 = 1

Then Probability that at most 1% of the units in the sample are nonconforming

  

To obtain this probability we can use excel---

command in excel is ---

The output is ---

This is respective probability.