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Statistics
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Statistical Techniques
Exam 7: Continuous Probability Distributions
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Question 21
Multiple Choice
The average score of 100 students taking a statistics final was 70 with a standard deviation of 7. Assuming a normal distribution, what is the probability that a student scored 90 or higher?
Question 22
Essay
To apply the normal approximation to a binomial distribution what must be true? ________________
Question 23
Multiple Choice
What is the area under the normal curve between z = -1.0 and z = -2.0?
Question 24
Multiple Choice
Suppose a tire manufacturer wants to set a mileage guarantee on its new XB 70 tire. Tests revealed that the tire's mileage is normally distributed with a mean of 47,900 miles and a standard deviation of 2,050 miles. The manufacturer wants to set the guaranteed mileage so that no more than 5 percent of the tires will have to be replaced. What guaranteed mileage should the manufacturer announce?
Question 25
Short Answer
A major credit card company has determined that customers charge between $100 and $1100 per month. Given that the average monthly amount charged is uniformly distributed, what percent of monthly changes are between $311 and $889? ________
Question 26
Short Answer
A study conducted by a local tennis center revealed that 25 percent of its new members have novice level tennis skills. A membership drive in a metropolitan area resulted in 500 new members. What is the mean and standard deviation to apply the normal approximation to the binomial?
Question 27
Short Answer
The weight of a bag of corn chips is normally distributed with a mean of 22 ounces and a standard deviation of ½ ounces. What is the probability that a bag of corn chips weighs between 20.75 and 23.25 ounces? _____
Question 28
Multiple Choice
If an average of 12 customers is served per hour, what is the probability that the next customer will arrive in 6 minutes or less?
Question 29
Multiple Choice
The average score of 100 students taking a statistics final was 70 with a standard deviation of 7. Assuming a normal distribution, what test score separates the top 5% of the students from the lower 95% of students?