Assume the Poisson Distribution with 50 what is the probabi

Assume the Poisson Distribution with = 5.0.

what is the probability that

x=1?

x<1?

x>1?

X 1?

USE EXCEL FUNCTIONS INSTEAD PLEASE

Solution

A)

P(x=1) is computed by

=POISSON(1,5,0)

= 0.033689735 [answer]

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B)

P(x<1) is like saying P(x=0). Thus, it is just the same as above,

P(x<1) = 0.033689735 [answer]

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C)

P(x>1) is obtained by, as we want a cumulative we write 1 on the last entry,

= 1-POISSON(1,5,1)

= 0.959572318 [answer]

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d)

P(x<=1) can be found by

=POISSON(1,5,1)

= 0.040427682 [ANSWER]