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(1 point) A group of 15 hunters wait for ducks to fly by. When a flock of ducks flies overhead, the hunters all fire at the same time, each selecting a target at random and independently of the others. If each hunter independently hits his target with probability 0.5, and if all misses do not hit other ducks, what is the expected number of ducks that will be hit

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codedmog101

Answer:

Kindly check the explanation section.

Step-by-step explanation:

So, we have the following parameters or data from the question/problem above;

=> The total number of hunters waiting for ducks to fly by = 15 hunters, the probability that hunter independently hits his target = 0.5 "and if all misses do not hit other ducks".

Since, it is not given the question we can make assumption that the number of ducks in a flock is a Poisson random variable with mean = 7.

Thus, the expected number of ducks that will be hit = n [ 1 - 0.5/n]^15 e^-7 7^n/n!

NB: Taking n= 0.

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