A wildlife biologist observes four brown bears as they attempt to catch salmon in a river in Alaska. Assume that each bear has a .7 probability of catching a fish and that the bears fishing attempts are independent. Let the random variable X be the number of bears that catch a fish. Create the probability distribution for X (rounding each to THREE decimal places).
Thank you for the opportunity to help you with your question! the solution is as such:
Now, given the following probability:
P= 0.7 and q = 0.3
P(X=0)= 4C0*0.3^4= 0. 0081
P(X=1)= 4C1*0.7*0.3^3 = 0. 076
P(X=2)= 4C2*0.7 ^ 2 *0.3^2= 0. 2646
P(X=3)= 4C3*0.7^ 3* 0.3^1= 0.4116
P(X=4)= 4C4*0.7^ 4 = 0.2401
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