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Mathematics
11th -
12thgrade
Normal Approximation to a Binomial Distribution
7 questions
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- 1. Multiple Choice
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
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
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
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
QuenCola, a soft-drink company, knows that it has a 42% market share in one region of the province. QuenCola’s marketing department conducts a blind taste test with 100 people at a mall in the region. Use a normal approximation to calculate the probability that fewer than 40 of
these people will choose QuenCola.
.3062
.3806
.6938
.6914
- 6. Multiple Choice
QuenCola, a soft-drink company, knows that it has a 42% market share in one region of the province. QuenCola’s marketing department conducts a blind taste test with 100 people at a mall in the region. Use a normal approximation to calculate the probability that exactly 40 of these people will choose QuenCola.
.3062
.6937
.0743
0
- 7. Multiple Choice
It is estimated that 10% of the vehicles entering Canada from the United States carry undeclared goods. Use the normal approximation to calculate the probability that a search of 500 randomly selected vehicles will find more than 60 with undeclared goods.
.0783
.0587
.0196
.9412
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