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.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 26E: Find the probability of each event. Getting 2 red eggs in a single scoop from a bucket containing 5...

See similar textbooks

Similar questions

Find the probability of each event. Rolling a sum of 11 on one roll of three dice
On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form the price of an appliance. If the contestant is correct, he or she wins the appliance. What is the probability of winning when the contestant knows that the price is at least $400?
Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the probability that 3 patients of this group, chosen at random, will remain disease-free.
Show that the probability of drawing a club at random from a standard deck of 52 playing cards is the same as the probability of drawing the ace of hearts at random from a set of four cards consisting of the aces of hearts, diamonds, clubs, and spades.