Let X be the number of accidents per week in a factory.

Chapter 2, Problem 12E

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QUESTION:

Let \(X\) be the number of accidents per week in a factory. Let the pmf of \(X\) be

 \(f(x)=\frac{1}{(x+1)(x+2)}=\frac{1}{x+1}-\frac{1}{x+2}, \quad x=0,1,2, \ldots\) .

Find the conditional probability of \(X \geq 4\), given that \(X \geq 1\).

Equation Transcription:

Text Transcription:

X  

f(x)=1/(x+1)(x+2)=1/x+1-1/x+2, x=0,1,2,…  

X > or = 4

X > or  = 1

Questions & Answers

QUESTION:

Let \(X\) be the number of accidents per week in a factory. Let the pmf of \(X\) be

 \(f(x)=\frac{1}{(x+1)(x+2)}=\frac{1}{x+1}-\frac{1}{x+2}, \quad x=0,1,2, \ldots\) .

Find the conditional probability of \(X \geq 4\), given that \(X \geq 1\).

Equation Transcription:

Text Transcription:

X  

f(x)=1/(x+1)(x+2)=1/x+1-1/x+2, x=0,1,2,…  

X > or = 4

X > or  = 1

ANSWER:

Answer:

Step 1 of 2:

           Let ‘X’ be the number of accidents per week in a factory.

              The pmf of ‘X’ is

                  f(x) =   , x = 0,1,2,....


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