Solution: Determine the cumulative distribution function for

Chapter 3, Problem 41E

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QUESTION:

Determine the cumulative distribution function for the random variable in Exercise 3-19.

\(f(x)=\frac{2 x+1}{25}, x=0,1,2,3,4\)

\(P(X=4)\)\(P(X \leq 1)\)\(P(2 \leq X<4)\)\(P(X>-10)\)

Equation transcription:

Text transcription:

f(x)=\frac{2 x+1}{25}, x=0,1,2,3,4

P(X=4)P(X \leq 1)P(2 \leq X<4)P(X>-10)

Questions & Answers

QUESTION:

Determine the cumulative distribution function for the random variable in Exercise 3-19.

\(f(x)=\frac{2 x+1}{25}, x=0,1,2,3,4\)

\(P(X=4)\)\(P(X \leq 1)\)\(P(2 \leq X<4)\)\(P(X>-10)\)

Equation transcription:

Text transcription:

f(x)=\frac{2 x+1}{25}, x=0,1,2,3,4

P(X=4)P(X \leq 1)P(2 \leq X<4)P(X>-10)

ANSWER:

Solution:

Step 1 of 2:

The probability mass function of the random variable X is given as

f(x)=;x=0,1,2,3,4.

Using this we need to find the cumulative distribution function of X.


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