A researcher found that the length of time for five-person student groups to reach a consensus on a sexual harassment policy at the University of Ghana has a normal distribution with u = 2.2 hours and = 0.25. (a) What is the probability that a randomly selected group of students will reach a consensus on a similar policy in less than 1.5 hours? (b) In another experiment with a group of five students, they reached a consensus on the policy option in 1.5 hours. Would you suspect that the group had discussed the policy beforehand? Give reasons for your answer.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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  1. A researcher found that the length of time for five-person student groups to reach a consensus on a sexual harassment policy at the University of Ghana has a normal distribution
    with u = 2.2 hours and = 0.25. (a) What is the probability
    that a randomly selected group of students will reach a consensus on a similar policy in less than 1.5 hours? (b) In another experiment with a group of five students, they reached a consensus on the policy option in 1.5 hours.
    Would you suspect that the group had discussed the policy beforehand? Give reasons for your answer.
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