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Unknown to a medical researcher, 9 out of 23 patients have a heart problem that will...

Unknown to a medical researcher, 9 out of 23 patients have a heart problem that will result in death if they receive the test drug. 7 patients are randomly selected to receive the drug and the rest receive a placebo. What is the probability that exactly 5 patients will die? Express your answer as a fraction or a decimal number rounded to four decimal places.

Math   Statistics-And-Probability   
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Answer #1

X:number of patient who will die.

X ~ bin (n,p)

where, n = 7

p = 9/23 = 0.3913

q = (1-p) = (1-0.3913) = 0.6087

the pmf of the distribution be:-

The probability that exactly 5 patients will die be:-



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