
Calculating Variance and Expected Value

Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard

Amelia Wright
FREE Resource
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the value of k in a probability density function?
Set the integral of the function equal to zero.
Differentiate the function with respect to x.
Solve the function for x.
Set the integral of the function equal to one.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of kx squared set equal to in order to find k?
Zero
One
The expected value
The variance
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of calculating the expected value in probability?
To find the maximum value of the function.
To determine the average outcome of a random variable.
To calculate the variance of the function.
To solve for the unknown variable k.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the expected value of a random variable calculated?
By setting the probability density function equal to zero.
By differentiating the probability density function.
By integrating x times the probability density function.
By solving the probability density function for x.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which method is preferred for calculating variance when the distribution is not uniform?
The method using the integral of the function.
The method using the derivative of the function.
The method using the expected value of x squared.
The standard method using x minus mu squared.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expected value of x squared used for in variance calculation?
To determine the average outcome of a random variable.
To find the maximum value of the function.
To solve for the unknown variable k.
To simplify the calculation of variance.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the variance calculation involve when using the expected value of x squared?
Adding the mean to each data point.
Subtracting the mean from each data point.
Multiplying the mean by the expected value of x squared.
Subtracting the square of the mean from the expected value of x squared.
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