Solution Found!
Solved: For Exercises 3-17 to 3-21, verify that the
Chapter 3, Problem 20E(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.
\(f(x)=(3 / 4)(1 / 4)^{x}, x=0,1,2, \ldots\)
(a) \(P(X=2)\)
(b) \(P(X \leq 2)\)
(c) \(P(X>2)\)
(d) \(P(X \geq 1))
Equation transcription:
Text transcription:
f(x)=(3 / 4)(1 / 4)^{x}, x=0,1,2, ldots
P(X=2)
P(X leq 2)
P(X>2)
P(X geq 1)
Questions & Answers
QUESTION:
For Exercises 3-17 to 3-21, verify that the following functions are probability mass functions, and determine the requested probabilities.
\(f(x)=(3 / 4)(1 / 4)^{x}, x=0,1,2, \ldots\)
(a) \(P(X=2)\)
(b) \(P(X \leq 2)\)
(c) \(P(X>2)\)
(d) \(P(X \geq 1))
Equation transcription:
Text transcription:
f(x)=(3 / 4)(1 / 4)^{x}, x=0,1,2, ldots
P(X=2)
P(X leq 2)
P(X>2)
P(X geq 1)
ANSWER:Solution:
Step 1 of 3:
We have to verify the given function is a probability mass function, also we have to find the following probabilities.
, x=0, 1, 2,...
- P(X=2)
- P(X
- P(X>2)
- P(X