Solution Found!
For Exercises 3-17 to 3-21, verify that the following
Chapter 3, Problem 17E(choose chapter or problem)
For Exercises 3-17 to 3-21, verify that the following functions are probability mass functions, and determine the requested probabilities.
(a) \(P(X \leq 2)\) (b) \(P(X>-2)\) (c) \(P(-1 \leq x \leq 1)\) (d) \(P(X \leq-1\) or \(X=2 \text { ) }\)
Equation transcription:
P(-1x1)
Text transcription:
P(X leq 2)
P(X>-2)
P(-1 leq x leq 1)
P(X leq-1
X=2 text { ) }
Questions & Answers
QUESTION:
For Exercises 3-17 to 3-21, verify that the following functions are probability mass functions, and determine the requested probabilities.
(a) \(P(X \leq 2)\) (b) \(P(X>-2)\) (c) \(P(-1 \leq x \leq 1)\) (d) \(P(X \leq-1\) or \(X=2 \text { ) }\)
Equation transcription:
P(-1x1)
Text transcription:
P(X leq 2)
P(X>-2)
P(-1 leq x leq 1)
P(X leq-1
X=2 text { ) }
ANSWER:Solution
Step 1 of 5
We have to verify the given function is a probability mass function or not
And we have to find the following probabilities
Here each probability value is greater than zero ()
And the total probability is equal to one ()
Hence the given function is a probability mass function