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Mean and Standard Deviation in Binomial

Authored by Anthony Clark

Mathematics

12th Grade

Mean and Standard Deviation in Binomial
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11 questions

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1.

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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the Expected value, E(x), of a binomial distribution with n=50 and p=0.4

50

4

20

10

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

It is computed by getting the weighted average of all possible values of a random variable.

mean

variance

standard deviation

binomial distribution

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When sampling from a population with proportion p, the distribution of sample proportions (p-hat) will vary. What will be the mean of all possible sample proportions?

p

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A binomial event has n = 60 trials. The probability of success on each trial is 0.4. Let X be the count of successes of the event during the 60 trials. What are mean X and standard deviation X?

24; 3.79

24; 14.4

4.9; 3.79

4.9; 14.4

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

It is known that about 90% of the widgets made by Buckley Industries meet specifications. Every hour a sample of 18 widgets is selected at random for testing and the number of widgets that meet specifications is recorded. What is the approximate mean and standard deviation of the number of widgets meeting

μ = 1.62; σ = 1.414

μ = 1.62; σ = 1.265

μ = 16.2; σ = 1.62

μ = 16.2; σ = 1.273

7.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Media Image

The table represents the probability of guessing correct on a 5 question true-false quiz. Construct a probability distribution graph and find the mean, standard deviation, and variance. .

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