8) On a certain campus (assume it is a large university), people of color make up 20% of the student population. A governing body of faculty and consultants randomly chooses 60 students to be a part of a new pilot program that pays for tuition so long as students meet certain academic criteria moving forward. Let C represent the number of students of color chosen to be in the program. Find the following and comment on the likelihood of each. a) Find P(C < 3) b) Find P(C < 10) c) Find P(3 < C<6)

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8) On a certain campus (assume it is a large university), people of color make up 20% of the
student population. A governing body of faculty and consultants randomly chooses
60 students to be a part of a new pilot program that pays for tuition so long as students meet
certain academic criteria moving forward. Let C represent the number of students of color
chosen to be in the program. Find the following and comment on the likelihood of each.
a) Find P(C < 3)
b) Find P(C < 10)
c)
Find P(3 < C< 6)
d) Find P(C > 12). Is this the same as P(C > 12)? Why or why not?
e) Find the value of c such that P(C < c) > 0.05. This represents the number of people of color
in the program for which someone could plausibly say "Well, that's not an unlikely number of
people of color." Is the value of c higher or lower than you thought?
Transcribed Image Text:8) On a certain campus (assume it is a large university), people of color make up 20% of the student population. A governing body of faculty and consultants randomly chooses 60 students to be a part of a new pilot program that pays for tuition so long as students meet certain academic criteria moving forward. Let C represent the number of students of color chosen to be in the program. Find the following and comment on the likelihood of each. a) Find P(C < 3) b) Find P(C < 10) c) Find P(3 < C< 6) d) Find P(C > 12). Is this the same as P(C > 12)? Why or why not? e) Find the value of c such that P(C < c) > 0.05. This represents the number of people of color in the program for which someone could plausibly say "Well, that's not an unlikely number of people of color." Is the value of c higher or lower than you thought?
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