Question

find the standard deviation for the binomial distribution which has the stated values of n and p n=47 p= 0.4 round you answer to the nearest hundredth

Answer 1

Option (3)

Explanation:

Standard deviation for the binomial distribution is given by,

σ =
`√(n* P(1-P))`

where n = Number of trials

P = probability of success of an individual trail

If n = 47 and P = 0.4

σ =
`√(47* 0.4(1-0.4))`

=
`√(47* 0.24)`

=
`√(11.28)`

= 3.3586

≈ 3.36

Therefore, standard deviation for the binomial distribution will be 3.36.

Option (3) will be the answer.