Question

The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 1414. Find the standard deviation for the number of seeds germinating in each batch. Round to the nearest tenth.

Answer 1

Answer: 1.7

Explanation:

Given : The probability that a radish seed will germinate is p=0.7.

A gardener plants seeds in batches of n=14.

For binomial distribution, the standard deviation is given by :-

`\sigma=√(np(1-p))`

Then, the standard deviation for the number of seeds germinating in each batch will be :-

`\sigma=√(14(0.7)(1-0.7))\\\\=√(14(0.7)(0.3))\\\\=√(2.94)=1.71464281995\approx1.7\ \ [\text{Rounded to the nearest tenth}]`

Hence, the standard deviation for the number of seeds germinating in each batch =1.7