Normal Distribution as Approximation to Binomial Probability

Normal Distribution as Approximation to Binomial Probability

12th Grade

20 Qs

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Normal Distribution as Approximation to Binomial Probability

Normal Distribution as Approximation to Binomial Probability

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

Created by

Anthony Clark

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Under what conditions is a normal probability distribution a good approximation for a discrete binomial distribution?

np and nq greater than 5

np and nq less than 5

μ = np

continuity correction applied

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For which of the binomial distributions listed below is the normal distribution not a reasonable approximation?

n = 50, p = 0.4

n = 40, p = 0.12

n = 75, p = 0.11

n = 40, p = 0.8

3.

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

4.

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In which of the following situations would it be appropriate to use a Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p?

n = 10, p = 0.5

n = 40, p = 0.88

n = 100, p = 0.2

n = 100, p = 0.99

n = 1000, p = 0.003

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have more than 7 accidents?

0.3446

0.2856

0.4

0.6554

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the condition to get approximate normal distribution from a binomial distribution?

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