1) Library patrons in a large metropolitan area were questioned about extending
ID: 3336633 • Letter: 1
Question
1) Library patrons in a large metropolitan area were questioned about extending library hours. 71.6% of those polled agreed with extending hours. If five library patrons from this area were chosen at random, what is that probability that all five would agree to extended hours? Give your answer as a decimal (rounded to the thousandths place).
2) 52.6% of the voters in a large city support the building of a new recycling center. If three voters from the city are chosen at random, what would be the probability that all three would oppose the building of the new recycling center? Give your answer as a decimal rounded to the thousandths place.
Explanation / Answer
1)probability that all five would agree to extended hours =(0.716)5 =0.1882
2)probability of oppose =1-0.526 =0.474
hence probability that all three would oppose the building of the new recycling center =(0.474)3=0.106
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