1. According to Sidney Morning herald, 40% of bicycles stolen in Holland are recovered. (In contrast, only 2% of bikes stolen in New York City are recovered.) Determine the probability that, in a sample of randomly selected cases of bicycles stolen in Holland, exactly 2 out of 6 bikes are recovered.
2.Assume that half of all children born are male and half are female. In all of the following cases, we will assume that there are no twins (or triplets or more) and that the conditions of the binomial model are statisfied.
a. If a woman plans to have two children, what is the proability that both will be girls?
b. If a woman plans to have three childrn, what is the probability that all will be girls?
c. If a woman plans to have three children, what is the probability that she will have at least one boy? ("At least one boy" is the complement of "all girls.")
d. Does this mean that the more children a woman has, the more likely she will be to have at least one boy? Explain.