Section 5.5: Normal Approximation to the Binomial Distribution

Section 5.5: Normal Approximation to the Binomial Distribution

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Mathematics

11th - 12th Grade

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11 questions

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1.

Multiple Choice

30 sec

1 pt

In a binomial distribution, what is the formula used to find the mean?

μ = n * p

μ = n * q

μ = q * p

μ = n * p * q

2.

Multiple Choice

30 sec

1 pt

When can we use a normal distribution to approximate a binomial distribution?

When n is greater than 5

When n * p is greater than or equal to 5

When n * q is greater than or equal to 5

When both n * p and n * q are greater than or equal to 5

3.

Multiple Choice

1 min

1 pt

In which of the following would we be able to use a normal distribution to approximate the distribution of x?

n = 24, p = 0.85, q = 0.15

n = 15, p = 0.70, q = 0.30

n = 18, p = 0.90, q = 0.10

n = 20, p = 0.65, q = 0.35

4.

Multiple Choice

45 sec

1 pt

Match the following binomial probability with its corresponding normal distribution probability statement after a continuity correction.


P(x > 25)

P(x > 25.5)

P(x < 25.5)

P(x > 24.5)

P(x < 24.5)

5.

Multiple Choice

2 mins

1 pt

It is know that 38% of all high school students own their own car. If I have a sample of 300 students could the probability of owning a car

be modeled with a normal distribution?

Yes because 0.38 x 300 AND

0.62 x 300 are both greater than 5

Yes because 0.38 x 300 is greater than 5

No because 0.38 is less than 0.5

No because 0.38 + 0.62 does not equal 1.

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