A college has seven applicants for three scholarships: four females and three males. Suppose that the seven applicants are equally qualified and that no preference is given by the selection committee for choosing either gender. Let x equal the number of female students chosen for the three scholarships.
What is the mean of the distribution of x?

What is the variance of the distribution of x?

What is the probability that only one female will receive a scholarship?

What is the probability that two females will receive a scholarship?

What is the probability that none of the three males will receive a scholarship?

What is the probability that none of the four females will receive a scholarship?

Question

A college has seven applicants for three scholarships: four females and three males. Suppose that the seven applicants are equally qualified and that no preference is given by the selection committee for choosing either gender. Let x equal the number of female students chosen for the three scholarships.
What is the mean of the distribution of x?
______________
What is the variance of the distribution of x?
______________
What is the probability that only one female will receive a scholarship?
______________
What is the probability that two females will receive a scholarship?
______________
What is the probability that none of the three males will receive a scholarship?
______________
What is the probability that none of the four females will receive a scholarship?
______________

Rockay Davis · Accepted Answer

Final Answer : 1.714; 0.4898; 0.3429; 0.5143; 0.1143; 0.0286

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