Determine the mean and variance of the random variable in

Chapter 3, Problem 60E

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QUESTION:

Determine the mean and variance of the random variable in Exercise 3-18.

3-18. \(f(x)=(8 / 7)(1 / 2)^{*}, x=1,2,3\)

(a) \(P(X \leq 1)\)                 (b) \(P(X>1)\)

(c) \(P(2<X<6)\)         (d) \(P(X \leq 1\) or \(X>1)\)

Equation transcription:

Text transcription:

f(x)=(8 / 7)(1 / 2)^{*}, x=1,2,3

P(X \leq 1)

P(X>1)

P(2<X<6)

P(X \leq 1

X>1)

Questions & Answers

QUESTION:

Determine the mean and variance of the random variable in Exercise 3-18.

3-18. \(f(x)=(8 / 7)(1 / 2)^{*}, x=1,2,3\)

(a) \(P(X \leq 1)\)                 (b) \(P(X>1)\)

(c) \(P(2<X<6)\)         (d) \(P(X \leq 1\) or \(X>1)\)

Equation transcription:

Text transcription:

f(x)=(8 / 7)(1 / 2)^{*}, x=1,2,3

P(X \leq 1)

P(X>1)

P(2<X<6)

P(X \leq 1

X>1)

ANSWER:

Answer

Step 1 of 1

(a)

We have given the probability mass function (PMF)

We are asked to find the mean and variance of the random variable.

We can form the probability mass function (PMF) table:

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