Binomial Mean and Variance

Binomial Mean and Variance

11th Grade

8 Qs

quiz-placeholder

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Binomial Mean and Variance

Binomial Mean and Variance

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Hard

Created by

Anthony Clark

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

0.962

0.132

0.831

0.250

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is NOT an assumption of the Binomial distribution?

All trials must be independent.

Each trial must be classified as a success or a failure.

All trials are dependent on each other.

The number of successes in the trials is counted.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the standard deviation of a binomial distribution with n=50 and p=0.4 (Round to the nearest tenth)

4.2

3.5

12.0

6.2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In a survey of 1000 people, what is the formula for calculating the variance of the number of people who prefer tea over coffee, assuming a binomial distribution?

n*p^2*(1-p)

n^2*p*(1-p)

n*p*(1-p)^2

n*p*(1-p)

5.

OPEN ENDED QUESTION

1 min • 1 pt

Find the mean, variance, and standard deviation for each of the values of n and p when the conditions for the binomial distribution are met.

n=100, p=0.75

Type your final answer as follows:

Mean =

Variance =

SD =

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Answer explanation

mean = 75

variance = 18.75

SD = 4.33

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Assuming that a normal distribution is a reasonable approximation for a binomial distribution, what value is used to approximate the mean?

nq

np

n/p

n/q

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Assuming that a normal distribution is a reasonable approximation for a binomial distribution, what value is used to approximate the standard deviation?

npq

np

√np

npq

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