A recent study found that 79% of breast cancer cases are detectable by mammogram

Question

A recent study found that 79% of breast cancer cases are detectable by mammogram. Suppose a random sample of 9 women with breast cancer are given mammograms. Find the probability that all of the cases are detectable, assuming that detection in the cases is independent. (ROUND TO FOUR DECIMAL PLACES AS NEEDED) A recent study found that 79% of breast cancer cases are detectable by mammogram. Suppose a random sample of 9 women with breast cancer are given mammograms. Find the probability that all of the cases are detectable, assuming that detection in the cases is independent. (ROUND TO FOUR DECIMAL PLACES AS NEEDED)

Explanation / Answer

The random variable X follows binomial distribution with parameters p=0.79, n=9

Thus the required probability is:

P(X=7)

=7C7*0.79^7*(1-0.79)^0

=0.192

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