Answer: 1.7
Step-by-step 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 :-
[tex]\sigma=\sqrt{np(1-p)}[/tex]
Then, the standard deviation for the number of seeds germinating in each batch will be :-
[tex]\sigma=\sqrt{14(0.7)(1-0.7)}\\\\=\sqrt{14(0.7)(0.3)}\\\\=\sqrt{2.94}=1.71464281995\approx1.7\ \ [\text{Rounded to the nearest tenth}][/tex]
Hence, the standard deviation for the number of seeds germinating in each batch =1.7
