Only about 75% of all donated human blood can be used in hospitals. the remaining 25% cannot be used because of various infections in the blood. suppose a blood bank has 10 newly donated pints of blood. let r be a binomial random variable that represents the number of "good" pints that can be used.
(a) based on questionnaires completed by the donors, it is believed that at least 6 of the 10 pints are usable. what is the probability that at least 8 of the pints are usable, given this belief is true? compute p(8 ≤ r | 6 ≤ r). (round your answer to three decimal places.)
(b) assuming the belief that at least 6 of the pints are usable is true, what is the probability that all 10 pints can be used? compute p(r = 10 | 6 ≤ r). (round your answer to three decimal places.)