Question

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this variety of seed is 96%. a. What proportion of these seeds should we expect to germinate? b. What’s the standard deviation of germination rates for these packets?

Answer 1

Answer:

Expectation=240

standard deviation=3.098

Step-by-step explanation:

This is a binomial probability function with n=250 and probability of success is 96%

-The expected value is calculated as:

$E(X)=np\\\\=250\times 0.96\\\\=240$

Hence, the expected germination is 240 seeds

b. From a above, we have the value of p=0.96 and n=250.

The standard deviation of germination is therefore calculated using the formula:

$\sigma=\sqrt{np(1-p)}, \ \ \ \\\\=\sqrt{250\times 0.96(1-0.96)}\\\\\\=3.098$

Hence, the standard deviation of germination is 3.098