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

Answer:

$SD = 1.296$

Step-by-step explanation:

Given

$n=8$ --- batches

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

Required

Determine the standard deviation (SD)

This is calculated as:

$SD = \sqrt{np(1-p)}$

Substitute values for n and p

$SD = \sqrt{8 * 0.7 * (1-0.7)}$

$SD = \sqrt{8 * 0.7 * 0.3}$

$SD = \sqrt{1.68}$

$SD = 1.296$

The standard deviation is approximately 1.296