Let X denote the number of bombs hit per minute in an area of 1 square miles on a certain day during a war. Suppose has a Poisson distribution with λ = 5. a) Find the probability that two bombs hit that area in a minute.    b) Find the probability that at most two bombs hit that area in a minute.    c) Find the expected number of bomb hits per minute in that area.

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18. Let X denote the number of bombs hit per minute in an area of 1 square miles on a certain day during a war. Suppose has a Poisson distribution with λ = 5.

  1. a) Find the probability that two bombs hit that area in a minute. 

 

  1. b) Find the probability that at most two bombs hit that area in a minute. 

 

  1. c) Find the expected number of bomb hits per minute in that area.

 

  1. d) Find the variance of the number of bomb hits per minute in that area. 
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