Question

1.a. The survival rate during a risky operation for patients with no other hope of survival is 86%. What is the probability that exactly four of the next five patients survive this operation? (Give your answer correct to three decimal places.)

b. Of all the trees planted by a landscaping firm, 10% survive. What is the probability that 10 or more of the 12 trees they just planted will survive? (Use a table of binomial probabilities. Give your answer correct to four decimal places.)

c. If boys and girls are equally likely to be born, what is the probability that in a randomly selected family of 5 children, there will be at least one boy? (Find the answer using a formula. Give your answer correct to three decimal places.)

d. 21% of a certain breed of rabbits are born with long hair. What is the probability that in a litter of 6 rabbits, exactly 2 will have long hair? (Give your answer correct to three decimal places.)

e. Where does all that Halloween candy go? The October 2004 issue of Readers' Digest quoted that "83% of parents admit taking Halloween candy from their children's trick-or-treat bags." The source of information was the National Confectioners Association. Suppose that 25 parents are interviewed. What is the probability that 20 or more took Halloween candy from their children's trick-or-treat bags? (Give your answer correct to three decimal places.)

Answer 1

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