Question

The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 8. Find the standard deviation for the number of seeds germinating in each batch.

Answer 1

`SD = 1.296`

Explanation:

Given

`n=8` --- batches

`p =0.7` --- probability that a seed germinates

Required

Determine the standard deviation (SD)

This is calculated as:

`SD = √(np(1-p))`

Substitute values for n and p

`SD = √(8 * 0.7 * (1-0.7))`

`SD = √(8 * 0.7 * 0.3)`

`SD = √(1.68)`

`SD = 1.296`

The standard deviation is approximately 1.296