-44 points PODStNS 6.E 028 A student placement center has requests from five stu

Question

-44 points PODStNS 6.E 028 A student placement center has requests from five students for interviews are statistics majors. Unfortunately, the interviewer has time to talk to only two of the students; these two will be randomly selected from among the five. regarding employment with a particular consulting firm. Three of these students are math majors, and the other two students (a) What is the probability that both selected students are statistics majors? (b) What is the probability that both students are math majors? (e) What is the probability that at least one of the students selected is a statistics major? (d) What is the probabilty that the selected students have different majons?

Explanation / Answer

P(math) = 3/5 = 0.6 and P(statistics) = 2/5 = 0.4

(a) P(both are statistics) = 0.4*0.4 = 0.16

(b) P(both are math) = 0.6*0.6 = 0.36

(c) P(atleast one statistics) = 1 - P(no statistics) = 1 - P(both math) = 1-0.36 = 0.64.

(b) P(different majors) = (0.6*0.4)+(0.4*0.6) = 0.24+0.24 = 0.48.

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