SOLUTION: The incidence of occupational disease in an industry is such that the human have a 20% chance of suffering from it. What is the probability that out of 6 women. i. Not more than 2

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Question 1144117: The incidence of occupational disease in an industry is such that the human have a 20% chance of suffering from it. What is the probability that out of 6 women.
i. Not more than 2 will catch the disease
ii. 4 or more will catch the disease

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
The general solution is  THIS :


     P(exactly n will get the disease) = C%5B6%5D%5En%2A0.2%5En%2A%281-0.2%29%5E%286-n%29  for n = 0, 1, 2, 3, 4, 5, 6.      (1)



(a)  P(not more than 2 will catch the disease) = P(0) + P(1) + P(2).


     At this point, use the formula (1).  Calculate  P(0), P(1)  and P(2); then add.




(b)  P(4 or more will catch the disease) = P(4) + P(5) + P(6).


     At this point, use the formula (1), again.  Calculate  P(4), P(5)  and P(6); then add.

Do the rest on your own.