Suppose a discrete random variable X has range {-1, 0, 1, 2, 3} and cumulative distribution function (cdf) given by x²+3x+2 20 F (x) = X What is the probability that X ≤ 1? Give an exact numerical answer expressed as a decimal expression accurate to four decimal places.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

Please help to solve this question and explain into details. Thank you! 

Suppose a discrete random variable \( X \) has range \(\{-1, 0, 1, 2, 3\}\) and cumulative distribution function (cdf) given by

\[
F_X(x) = \frac{x^2 + 3x + 2}{20}
\]

What is the probability that \( X \leq 1 \)?

Give an exact numerical answer expressed as a decimal expression accurate to four decimal places.
Transcribed Image Text:Suppose a discrete random variable \( X \) has range \(\{-1, 0, 1, 2, 3\}\) and cumulative distribution function (cdf) given by \[ F_X(x) = \frac{x^2 + 3x + 2}{20} \] What is the probability that \( X \leq 1 \)? Give an exact numerical answer expressed as a decimal expression accurate to four decimal places.
Expert Solution
steps

Step by step

Solved in 3 steps with 13 images

Blurred answer