Q1: Of the microprocessors manufactured by a certain process, 17% are defective.
ID: 3207082 • Letter: Q
Question
Q1: Of the microprocessors manufactured by a certain process, 17% are defective. Five microprocessors are chosen at random. Assume they function independently.
a) What is the probability that all 5 microprocessors work?
b) What is the probability that at least one of the 5 microprocessors works?
(Also, please answer the other two questions in the picture.)
1. (10 points) of the microprocessors manufactured by a certain process, 17% are defective. Five microprocessors are chosen at random. Assume they function independently. a. What is the probability that all 5 microprocessors work? b. What is the probability that at least one of the 5 microprocessors works? 2. (10 points) An athlete suspected of having used steroids is given two tests that operate independently of each other. Test A has probability 0.91 of being positive if steroids have been used. Test B has probability o 82 of being positive if steroids have been used. What is the probability that at least one test is positive if the athlete was using steroids?Explanation / Answer
P(defective microprocessor) = 0.17
A) P(all microprocessors working) = (1-0.17)5 = 0.3939
B) P(at least 1 will work) = 1-P(none will work)
= 1 - 0.175
= 0.99986
(please post separate questions separately. Sorry for the inconvenience)
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