The probability that a single radar set will detect an enemy plane is 0.9. if we have five radar sets, what is the probability that exactly four sets will detect the plane?

The probability that a single radar set will detect an enemy plane is 0.9. if we have five radar sets, what is the probability that exactly four sets will detect the plane?

Solution: The given random experiment follows binomial distribution with

Let x be the number of radar sets that will detect the plane.

We have to find

Therefore, the probability that exactly four sets will detect the plane is 0.3281

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