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Suppose a large class of 75 students is made up of 45 females and 30 males....

Suppose a large class of 75 students is made up of 45 females and 30 males. The teacher randomly selects 5 different students to present homework solutions in front of the class. let X = the number of females among the 5 selected.

a) find the mean and variance of this random variable x.

b) find P(X=2) show formula setup

c) approximate P(X=2) by a binomial approximation (show setup)

math   Statistics-And-Probability   
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Answer #1

Number of females =45

Number of students =75

Probability of selecting girl is

Let

and number of students selected

a) Mean

Variance

b)

c)

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