Assume that a national fitness study reports that 10%10% of millenials exercise daily. suppose that a researcher surveys a random sample of 250250 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 μ and standard deviation σ of the sampling distribution of . report μ as a whole number and σ as a decimal precise to two decimal places.

The mean μ and standard deviation σ of the sampling distribution of X  are 25 and 4.74 respectively.

Step-by-step explanation:

Let X be the binomial random variable that represents the number of millenials in the sample who exercise daily.

As per given , the parameters associated with x are

n= 250 and p=0.10

Required formula ,

Mean = np

Standard deviation:

Similarly , the  mean μ and standard deviation σ of the sampling distribution of X will be :-

Mean =

Standard deviation:

Hence, the mean μ and standard deviation σ of the sampling distribution of X  are 25 and 4.74 respectively.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.