# STAT 213 Chapter Notes - Chapter 3: Scotiabank Saddledome, Random Variable, Standard Deviation

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Published on 24 Jun 2019

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Chapter 3: Discrete Random Variables

1. The discrete random variable X has a probability distribution defined

below. What is the expectation of X?

2. The random variable X has mass function!given below. Find E(g(X)) where

g(x) = x^2 + x + 1

3. Three Toronto Maple Leaf fans attend a Flames-Leafs game in the

Saddledome. The probability that the first fan will wear their "Leafs"

jersey is 0.68. The probability that the second fan will wear their

"Leafs" jersey is 0.65. The probability that the third fan will not wear

their "Leafs" jersey is 0.56. Let X be a random variable which measures

how many of the three Leaf fans mentioned are wearing their "Leafs"

jersey to this hockey game. Assuming that each "Leaf" fan mentioned wears

their "Leaf" jersey independently of each other, find the probability

distribution of X.!

Chapter 3: Discrete Random Variables

A. P(X = 0)

B. P(X = 1)

C. P(X = 2)

D. P(X = 3)

4. There are four activities along the critical path for a project. The

expected values and variances of the completion times of the activities

are listed below. Determine the expected value and variance of the

completion time of the project.

A. Expected value of completion time of project:

Chapter 3: Discrete Random Variables

B. Variance of completion time of project:

5. The mean and standard deviation of a random variable x are 11 and 1,

respectively. Find the mean and standard deviation of the given random

variables:

A. y = x + 5

B. v = 7x

C. W = 7x + 5

6. Based on recent records, the manager of a car painting center has

determined the following probability distribution for the number of

customers per day. If the centre has the capacity to serve 2 customers

per day: