8% of us adults have blood type b-positive. suppose we take a random sample of 38 us adults. let x represent the number of adults (out of the sample of 38) with blood type b- positive. this situation can be modeled with a binomial random variable x. 4. calculate the mean of x. show all work and round your answer to two decimal places.

Respuesta :

Mean of the number of adults (out of the sample of 38) with blood type b- positive (x) is 3.04

Let x be the number of adults out of 38 with blood type b-positive

Probability, p of adults with blood type b-positive=8%=0.08

Sample size, n=38

Using binomial random variable x binomial(n=38, p=0.08)

p(X=x)=[tex]\left \ ({{n} \atop {x}}) \right. p^{x} q^{n-x}[/tex], where x=0,1,2,3,.....n

Mean of x:

Mean of x=(probability of adults with blood type b-positive*sample size)

So, mean of x=p*n, where n=38, p=0.08

                    =0.08*38

                    =3.04

Learn more about binomial random variable here:

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