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

Answer:

Option (3)

Step-by-step explanation:

Standard deviation for the binomial distribution is given by,

σ = $\sqrt{n\times P(1-P)}$

where n = Number of trials

P = probability of success of an individual trail

If n = 47 and P = 0.4

σ = $\sqrt{47\times 0.4(1-0.4)}$

  = $\sqrt{47\times 0.24}$

  = $\sqrt{11.28}$

  = 3.3586

  ≈ 3.36

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

Option (3) will be the answer.