SOLUTION: Based on study we know that 51% of all the surgical patients use herbal medicines prior to surgery. What is the probability for 5 randomly selected patients all use herbal medicine

Question 591794: Based on study we know that 51% of all the surgical patients use herbal medicines prior to surgery. What is the probability for 5 randomly selected patients all use herbal medicine prior to surgery?
A. 0.028
B. 0.034
C. 0.969
D. 0.970
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
P(X = x) = (n C x)*(p)^(x)*(1-p)^(n-x)

P(X = 5) = (5 C 5)*(0.51)^(5)*(1-0.51)^(5-5)

P(X = 5) = (5 C 5)*(0.51)^(5)*(0.49)^(5-5)

P(X = 5) = (1)*(0.51)^(5)*(0.49)^0

P(X = 5) = (1)*(0.0345025251)*(1)

P(X = 5) = 0.0345025251

So the probability is 0.0345025251
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