It is known that the use of banned drugs can contribute to mental illness. The minister of health wants to put a cost to this disaster and request that you take a study. In Barbados 40% of mentally ill blame their illness on drugs. Without previous knowledge in Jamaica we assume that this is the same proportion here. You selected a random sample of 12Bellevue patients to review. What is the probability that 6 patients used the drugs that caused their illness.

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 It is known that the use of banned drugs can contribute to mental illness. The minister of health wants to put a cost to this disaster and request that you take a study. In Barbados 40% of mentally ill blame their illness on drugs. Without previous knowledge in Jamaica we assume that this is the same proportion here. You selected a random sample of 12
Bellevue patients to review. What is the probability that 6 patients used the drugs that caused their illness.

Expert Solution
Step 1

Given Information

probability of patient blaming their illness on drugs(p) = 0.4

Total no of patients = 12

Let X be the random variable that represents the number of number of patients that used drugs caused their illness is  

X ~ Binomial(n = 12, p = 0.4)

Probability mass function is given by

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