#### Question

The number of complaints which a bank manager receives per day is a Poisson random variable with parameter m = 4. Find the probability that the manager will receive -

(a) only two complaints on any given day.

(b) at most two complaints on any given day

[Use e^{-4} =0.0183]

#### Solution

`P(X=k)=e^(-m) xx m^k/(k!)`

(a) only two complaints on any given day.

k=2, m=4

`P(X=2)=e^(-4) xx 4^2/2`

`=0.0183 xx 8 `

`=0.1464`

(b) at most two complaints on any given day

`=P(x<=2)`

`=P(x=0)+P(x=1)+P(x=2)`

`=e^(-4) xx 4^0/0 + 0.732 + 0.1464 `

`=0 + 0.732 + 0.1464 `

`=0.2196`

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#### APPEARS IN

Solution for question: The Number of Complaints Which a Bank Manager Receives per Day is a Poisson Random Variable with Parameter M = 4. Find the Probability that the Manager Will Receive concept: Poisson Distribution. For the courses HSC Commerce, HSC Commerce (Marketing and Salesmanship)