Question

The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of

Answer 1

The standard deviation for the number of seeds germinating in each batch is 1.3

Solution:

In binomial distribution, standard deviation is given as:

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

Where "n" is the number of observations

"p" is probability of getting success

We are given that:

Total batches of seed = 8

Probability that a radish seed will germinate is 0.7

Here success is getting radish seed germinated

Then, the standard deviation for the number of seeds germinating in each batch.

Plugging in values in formula, we get

$\sigma=\sqrt{(8)(0.7)(1-0.7)}\\\\=\sqrt{(8)(0.7)(0.3)}\\\\=\sqrt{1.68}\\\\=1.29614\approx1.3$

Therefore the standard deviation for the number of seeds germinating in each batch is 1.3