3. Let X be a binomial random variable with n = 100 and p = 0.6. Approximate the following probabilities using the normal distribution. a) P(X=65) b) P(X ≤ 70) c) P(X> 50)

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Chapter: NORMAL AND SAMPLING DISTRIBUTIONS

3. Let X be a binomial random variable with n = 100 and p = 0.6. Approximate the
following probabilities using the normal distribution.
a) P(X=65)
b) P(X ≤70)
c) P(X> 50)
4. The time required to complete an interview is approximately normal distributed with a
mean of 12 minutes and a standard deviation of 1.5 minutes. For a particular interview,
calculate the probability that it will take
a) at least 14 minutes
b) at least 8 minutes
c) not more than 10 minutes
d) more than 10 minutes and less than 15 minutes
1
Transcribed Image Text:3. Let X be a binomial random variable with n = 100 and p = 0.6. Approximate the following probabilities using the normal distribution. a) P(X=65) b) P(X ≤70) c) P(X> 50) 4. The time required to complete an interview is approximately normal distributed with a mean of 12 minutes and a standard deviation of 1.5 minutes. For a particular interview, calculate the probability that it will take a) at least 14 minutes b) at least 8 minutes c) not more than 10 minutes d) more than 10 minutes and less than 15 minutes 1
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