A geologist has collected 12 specimens of basaltic rock and 12 specimens of granite. The geologist instructs a laboratory assistant to randomly select 19 of the specimens for analysis.   (a) What is the pmf of the number of granite specimens selected for analysis? (Round your probabilities to four decimal places, and there should be six pairs of x and p(x).)   (b) What is the probability that all specimens of one of the two types of rock are selected for analysis? (Round your answer to four decimal places.)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A geologist has collected 12 specimens of basaltic rock and 12 specimens of granite. The geologist instructs a laboratory assistant to randomly select 19 of the specimens for analysis.
 
(a) What is the pmf of the number of granite specimens selected for analysis? (Round your probabilities to four decimal places, and there should be six pairs of x and p(x).)
 
(b) What is the probability that all specimens of one of the two types of rock are selected for analysis? (Round your answer to four decimal places.)
 
(c) What is the probability that the number of granite specimens selected for analysis is within 1 standard deviation of its mean value? (Round your answer to four decimal places.)
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