Blocks of concrete are tested for conformance to strength specifications. The outcomes of the test are considered independent, and the probability of a concrete block conforming to strength specifications is 0.85 a. What is the probability that exactly 5 concrete blocks are tested to obtain 3 concrete blocks that conforms to strength specifications? b. Suppose one needs 4 consecutive concrete blocks conforming to strength specifications, what is the probability that exactly 8 tests (for 8 concrete blocks) are necessary?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Blocks of concrete are tested for conformance to
strength specifications. The outcomes of the test are
considered independent, and the probability of a
concrete block conforming to strength specifications
is 0.85
a. What is the probability that exactly 5 concrete
blocks are tested to obtain 3 concrete blocks that
conforms to strength specifications?
b. Suppose one needs 4 consecutive concrete
blocks conforming to strength specifications, what
is the probability that exactly 8 tests (for 8
concrete blocks) are necessary?
Transcribed Image Text:Blocks of concrete are tested for conformance to strength specifications. The outcomes of the test are considered independent, and the probability of a concrete block conforming to strength specifications is 0.85 a. What is the probability that exactly 5 concrete blocks are tested to obtain 3 concrete blocks that conforms to strength specifications? b. Suppose one needs 4 consecutive concrete blocks conforming to strength specifications, what is the probability that exactly 8 tests (for 8 concrete blocks) are necessary?
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