Answer: Determine the cumulative distribution function for

Chapter 3, Problem 40E

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QUESTION:

Determine the cumulative distribution function for the random variable in Exercise 3-18; also determine the following probabilities:

(a) \(P(X<1.5)\)                                                 (b) \(P(X \leq 3)\)

(c) \(P(X>2)\)                                         (d) \(P(1<X \leq 2)\)

Equation transcription:

Text transcription:

P(X<1.5)

P(X>2)

P(X \leq 3)

P(1<X \leq 2)

Questions & Answers

QUESTION:

Determine the cumulative distribution function for the random variable in Exercise 3-18; also determine the following probabilities:

(a) \(P(X<1.5)\)                                                 (b) \(P(X \leq 3)\)

(c) \(P(X>2)\)                                         (d) \(P(1<X \leq 2)\)

Equation transcription:

Text transcription:

P(X<1.5)

P(X>2)

P(X \leq 3)

P(1<X \leq 2)

ANSWER:

Solution:

Step 1 of 6:

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

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

We need to find the cumulative distribution function of X and also we need to find the required probability values.


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