Please answer the attached question 2. In a survey individuals are asked to disclosc the number of tclevisions in thcir houschold. In the followingprobability distribution, the random variable X represents the number of televisions in households.a. Draw a probability histogram.b. Determine the mean of the random variable X.c. Determine the standard deviation of the random variable X.d. What is thc probability that a randomly sclccted houschold has 3 or 4 tclevisions?x P(x)1 0.1612 0.2613 0.1764 0.1865 0.1166 0.0557 0.0258 0.0109 0.010

Answered: 2. In a survey individuals arc asked to…

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

Please answer the attached question

2. In a survey individuals are asked to disclosc the number of tclevisions in thcir houschold. In the following
probability distribution, the random variable X represents the number of televisions in households.
a. Draw a probability histogram.
b. Determine the mean of the random variable X.
c. Determine the standard deviation of the random variable X.
d. What is thc probability that a randomly sclccted houschold has 3 or 4 tclevisions?
x P(x)
1 0.161
2 0.261
3 0.176
4 0.186
5 0.116
6 0.055
7 0.025
8 0.010
9 0.010

Expert Solution

Step 1

Expectation of a Discrete Random Variable: The expectation of a discrete random variable X, denoted by E(X), is defined as a measure of central tendency of the probability distribution of X. If X has the values x₁, x₂, ... with probabilities p₁, p₂, ... then the expectation of X is given by,

Standard Deviation of a Random Variable: The standard deviation of a random variable X is defined as a measure of dispersion of the probability distribution of X. It is given by,