The standard deviation for the number of seeds germinating in each batch is 1.3
Solution:
In binomial distribution, standard deviation is given as:
[tex]\sigma=\sqrt{np(1-p)}[/tex]
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
[tex]\sigma=\sqrt{(8)(0.7)(1-0.7)}\\\\=\sqrt{(8)(0.7)(0.3)}\\\\=\sqrt{1.68}\\\\=1.29614\approx1.3[/tex]
Therefore the standard deviation for the number of seeds germinating in each batch is 1.3
