Question

Given that 6% of the 10000s of gadgets produced by a company have defective parts in them. A departmental store-chain is expecting a supply of 500 such gadgets.

(a) If we take simple random samples of size 500 from the population of all such gadgets, the proportion of defectives among all such samples will show a mean of?

(b) If we take simple random samples of size 500 from the population of all such gadgets, the proportion of defectives among all such samples will show a standard deviation of?

(c) If we take a simple random sample of 500 from the population of all such gadgets, the probability that more than 40 of these 500 will be defective is closest to?

Answer 1

We have given population proportion P=0.06 and population size=10000.

(a) If we take simple random samples of size 500 from the population of all such gadgets, the proportion of defectives among all such samples will show a mean of p=0.06

(b) If we take simple random samples of size 500 from the population of all such gadgets, the proportion of defectives among all such samples will show a standard deviation of

  

(c) If we take a simple random sample of 500 from the population of all such gadgets, the probability that more than 40 of these 500 will be defective is closest to