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Assume that a national fitness study reports that 10% of millenials exercise daily. Suppose that a researcher surveys a random sample of 250 millenials regarding their daily exercise habits. Assume that ???? is a binomial random variable that represents the number of millenials in the sample who exercise daily. Compute the mean ???? and standard deviation ???? of the sampling distribution of ???? . Report ???? as a whole number and ???? as a decimal precise to two decimal places.

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Answer:

Step-by-step explanation:

Let X be the number of millenials  in the sample who exercise daily

Given that X is binomial with n = 250 and p = 10% = 0.1

q = [tex]1-p=0.9[/tex]

As per binomial distribution rule we have

Mean of X = E(X) = [tex]np = 25[/tex]

Variance of X = [tex]npq= 22.5[/tex]

Std dev=[tex]\sqrt{22.5} =4.74[/tex]

Alejandrah7

Question: Assume that a national fitness study reports that  5%  of millenials exercise daily. Suppose that a researcher surveys a random sample of  120  millenials regarding their daily exercise habits. Assume that  

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