Institutional Research reports that 29% of students at Up are from Oregon, 24% a

Question

Institutional Research reports that 29% of students at Up are from Oregon, 24% are from Washington, and 47% are from states outside of Washington and Oregon. Suppose that three up students are selected randomly with replacement. a. What is the probability that all three students are from Washington? a) 0.720 b) 0.014 c) 0.439 d) 0.240 b. What is the probability that none of the three students are from Oregon? a) 0.358 b) 0.104 c) 0.439 d) 0.710 c. What is the probability that at least one of three students is from a state other than Oregon and Washington? a) 0.104 b) 0.470 c) 0.896 d) 0.851

Explanation / Answer

a) probabilty of all 3 from washington =(0.24)3 =0.014

b)probabilty none from oregon=(1-0.29)3 =0.358

c)probabilty that at least one from other state =1-P(none from other state)=1-(0.47)3 =1-0.104=0.896

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