Fourteen people apply for a teaching position in mathematics at a local college. Eight have a PhD and six have a master's degree. If the department chairperson selects five applicants at random for an interview. Then, a) write the formula for p(x), the probability distribution of the variable x, which indicates the number of people having a PhD; b) find the probability that 3 out of 5 people have a master degree; c) find the probability that the number of people having a PhD is at least 2 and at most 4; d) find the mean and the standard deviation associated to x.
Fourteen people apply for a teaching position in mathematics at a local college. Eight have a PhD and six have a master's degree. If the department chairperson selects five applicants at random for an interview. Then, a) write the formula for p(x), the probability distribution of the variable x, which indicates the number of people having a PhD; b) find the probability that 3 out of 5 people have a master degree; c) find the probability that the number of people having a PhD is at least 2 and at most 4; d) find the mean and the standard deviation associated to x.
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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Transcribed Image Text:Fourteen people apply for a teaching position in mathematics at a local college. Eight have a PhD and six have a master's
degree. If the department chairperson selects five applicants at random for an interview. Then,
a) write the formula for p(x), the probability distribution of the variable x, which indicates the number of people having a
PhD;
b) find the probability that 3 out of 5 people have a master degree;
c) find the probability that the number of people having a PhD is at least 2 and at most 4;
d) find the mean and the standard deviation associated to x.
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