Find the probability that solar radiation will exceed 400 calories on a typical October de5.7 The distribution function of a random variable X is as follows:0.0 2 'A. Graph the distribution function.b Find the probability that X is between 0.25 and 0.75.Find the probability density function of X.Kd Graph the probability density function of X.

The distribution function of a random variable X is as follows: 0. 0 2 ' I Graph the distribution function. b Find the probability that X is between 0.25 and 0.75. Find the probability density function of X.

The distribution function of a random variable X is as follows: 0. 0 2 ' I Graph the distribution function. b Find the probability that X is between 0.25 and 0.75. Find the probability density function of X.

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...

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Question

Find the probability that solar radiation will exceed 400 calories on a typical October de
5.7 The distribution function of a random variable X is as follows:
0.
0 <x < 1
1<x< 2
F (x) =
1.
x > 2 '
A. Graph the distribution function.
b Find the probability that X is between 0.25 and 0.75.
Find the probability density function of X.
Kd Graph the probability density function of X.

Expert Solution

Step 1

I have solved first three parts.

$G i v e n t h a t t h e d i s t r i b u t i o n f u n c t i o n o f X i s : F (x) = \{\begin{cases} 0 f o r x < 0 \\ \frac{x^{3}}{2} f o r 0 \leq x < 1 \\ \frac{x}{2} f o r 1 \leq x \leq 2 \\ 1 f o r x > 2 \end{cases}$

Step 2

a) The graph of distribution function:

Step by step

Solved in 4 steps with 1 images

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