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Suppose in a microarray experiment, there are 140 genes under consideration, and only 90 genes out...

Suppose in a microarray experiment, there are 140 genes under consideration, and only 90 genes out of the 140 genes are expressed. Let X be the number of expressed genes out of six randomly genes.

A. Give the probability distribution of X and its parameters. Use this distribution to answer both B and C.

B. Find the probability that only three of the six genes selected will be expressed.

C. Find the probability that all genes selected will be expressed.

Math   Statistics-And-Probability   
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