Section 5.5: Normal Approximation to the Binomial Distribution
Assessment
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Deleted User
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Mathematics
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11th - 12th Grade
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61 plays
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Medium
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11 questions
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1.
Multiple Choice
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
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
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
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
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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