# Let X ~ Poisson(4). Finda. P(X = 1)________________b. P(X

## Problem 1E Chapter 4.3

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition

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Problem 1E

Let X ~ Poisson(4). Find

a. P(X = 1)

b. P(X = 0)

c. P(X<2)

d. P(X > 1)

e. μX

f. σX

Step-by-Step Solution:

Step 1 of 7</p>

Here we have to find the poisson probabilities

The pmf of Poisson distribution is p(x)=,x=0,1,2,............

Here Xpoisson()

Given Xpoisson(4)

So =4

Step 2 of 7</p>

a) Given P(X=1)=

=0.0733

Hence  P(X=1)=0.0733

Step 3 of 7</p>

b) Given P(X=1)=

=0.0183

Hence  P(X=1)=0.0183

Step 4 of 7</p>

c) given P(X<2)=P(0)+P(1)

=0.0733+0.0183

=0.0916

Hence P(X<2)=0.0916

Step 5 of 7

Step 6 of 7

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