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Ab technologies produces dc motors of which 5% are defective.the motors are packaged into boxes, each box contains 60 motors. a box is selected at random. find the probability that the box contains exactly one defective motor. at least two defective mtors



Answer :

okpalawalter8

The probability that the box contains exactly one defective motor.

P(X=1)=0.5225

This is further explained below.

What is Poisson distribution?

Generally, This follows a Poisson distribution and will be solved using:

[tex]P(X=x)=\frac{e^{-u} u^x}{x !}[/tex]

Where

u = Expected number of occurrences, and it is calculated as:

u=n p

u=60 * 4%

u=60 * 0.04

u=2.4

In conclusion,

[tex]P(X=x)=\frac{e^{-u} u^x}{x !}[/tex]

Therefore

[tex]P(X=1)=\frac{e^{-2.4} 2.4^2}{2 !}[/tex]

P(X=1)=0.5225

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