Conditional Probability: Blood Supply Only about 70% of all donated human blood can be used in hospitals.
Question:
Conditional Probability: Blood Supply Only about 70% of all donated human blood can be used in hospitals. The remaining 30% 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).
(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 510 | 6 # r).
AppendixLO1
Step by Step Answer:
Understandable Statistics Concepts And Methods
ISBN: 9780357719176
13th Edition
Authors: Charles Henry Brase, Corrinne Pellillo Brase