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In a certain town, 23% of males have a beard. In random samples of 25 men from
this town, what are the mean and standard deviation of the number of men with
a beard?

Respuesta :

Answer:

Mean    μ = 5.75

Standard deviation  σ = 2.1041

Step-by-step explanation:

Step(i):-

Given that the size of the sample 'n' = 25

Given proportion p= 23% = 0.23

Let 'X' be the random variable in a binomial distribution

Mean    μ = np = 25 × 0.23 = 5.75

Step(ii):-

Standard deviation

          σ = √npq

         σ = [tex]\sqrt{25 X 0.23 X0.77}[/tex]

        σ = 2.1041

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