Suppose that the cumulative distribution function of the

Chapter 4, Problem 17E

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QUESTION:

Suppose that the cumulative distribution function of the random variable X is

Determine the following:

(a) \(P(X<2.8)\)                 (b) \(P(X>1.5)\)

(c) \(P(X<-2)\)                (d) \(P(X>6)\)

Equation transcription:

Text transcription:

P(X<2.8)

P(X>1.5)

P(X<-2)

P(X>6)

Questions & Answers

QUESTION:

Suppose that the cumulative distribution function of the random variable X is

Determine the following:

(a) \(P(X<2.8)\)                 (b) \(P(X>1.5)\)

(c) \(P(X<-2)\)                (d) \(P(X>6)\)

Equation transcription:

Text transcription:

P(X<2.8)

P(X>1.5)

P(X<-2)

P(X>6)

ANSWER:

Solution:

Step 1 of 3:

Let X be a continuous random variable.

The cumulative density function of the random variable X is given.

                                       

We have to find the following probabilities.

  1. P(X<2.8)
  2. P(X>1.5)
  3. P(X<-2)
  4. P(X>6)


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