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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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