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Lesson Example Discussion Quiz: Class Homework

Quiz Discussion

Title: Mean and variance of discrete random variable

Grade: 9-a Lesson: S4-L2

Explanation: Let us discuss a few questions on this topic and review the answers to every question.

Quiz: Discussion in Class

Problem Id	Problem	Options
Steps 1	Determine the mean and variance of the random variable X having the following probability distribution. $1$	A) E(X) = 34,VAR(X) = 2.8 B) E(X) = 51,VAR(X) = 3.1 C) E(X) = 51,VAR(X) = 3.1 D) E(X) = 51,VAR(X) = 3.1
Steps 2	The probabilities that a batch of 4 computers will contain 0, 1, 2, 3 and 4 defective computers are 0.45, 0.39, 0.13, 0.01 and 0.0010, respectively. What is the standard deviation for the probability distribution?	A) E(X) = 0.852,VAR(X) = 0.12 B) E(X) = 0.511,VAR(X) = 0.45 C) E(X) = 0.445,VAR(X) = 0.90 D) E(X) = 0.684,VAR(X) = 0.55
Steps 3	Determine the mean and variance of the random variable X having the following probability distribution. $3$	A) E(X) = 12.53,VAR(X) = 0.49 B) E(X) = 21.67,VAR(X) = 0.23 C) E(X) = 98.53,VAR(X) = 0.76 D) E(X) = 10.73,VAR(X) = 0.95
Steps 4	Determine the mean and variance of the random variable X having the following probability distribution. $4$	A) E(X) = 1.25,VAR(X) = 0.93 B) E(X) = 3.75,VAR(X) = 0.83 C) E(X) = 6.65,VAR(X) = 0.72 D) E(X) = 8.50,VAR(X) = 0.56
Steps 5	Determine the mean and variance of the random variable X having the following probability distribution. $5$	A) E(X) = 8,VAR(X) = 13 B) E(X) = 6,VAR(X) = 8 C) E(X) = 7,VAR(X) = 12 D) E(X) = 2,VAR(X) = 6

Problem Id

Problem

Options

Steps 1

Determine the mean and variance of the random variable X having the following probability distribution. $1$

A) E(X) = 34,VAR(X) = 2.8
B) E(X) = 51,VAR(X) = 3.1
C) E(X) = 51,VAR(X) = 3.1
D) E(X) = 51,VAR(X) = 3.1

Steps 2

The probabilities that a batch of 4 computers will contain 0, 1, 2, 3 and 4 defective computers are 0.45, 0.39, 0.13, 0.01 and 0.0010, respectively. What is the standard deviation for the probability distribution?

A) E(X) = 0.852,VAR(X) = 0.12
B) E(X) = 0.511,VAR(X) = 0.45
C) E(X) = 0.445,VAR(X) = 0.90
D) E(X) = 0.684,VAR(X) = 0.55

Steps 3

Determine the mean and variance of the random variable X having the following probability distribution. $3$

A) E(X) = 12.53,VAR(X) = 0.49
B) E(X) = 21.67,VAR(X) = 0.23
C) E(X) = 98.53,VAR(X) = 0.76
D) E(X) = 10.73,VAR(X) = 0.95

Steps 4

Determine the mean and variance of the random variable X having the following probability distribution. $4$

A) E(X) = 1.25,VAR(X) = 0.93
B) E(X) = 3.75,VAR(X) = 0.83
C) E(X) = 6.65,VAR(X) = 0.72
D) E(X) = 8.50,VAR(X) = 0.56

Steps 5

Determine the mean and variance of the random variable X having the following probability distribution. $5$

A) E(X) = 8,VAR(X) = 13
B) E(X) = 6,VAR(X) = 8
C) E(X) = 7,VAR(X) = 12
D) E(X) = 2,VAR(X) = 6