Answer: For Exercises 3-17 to 3-21, verify that the

QUESTION:

For Exercises 3-17 to 3-21, verify that the following functions are probability mass functions, and determine the requested probabilities.

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