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Statistical Techniques Study Set 1
Exam 7: Continuous Probability Distributions
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Question 21
True/False
The exponential distribution is a probability distribution for a random variable measured as a rate of an event occurring.
Question 22
Essay
Two business major students, in two different sections of an economics class, were comparing test scores. The following shows the sections' mean and standard deviation.
The student in section 2 scored 75. The student's z score would be _____.
Question 23
Multiple Choice
The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. What is the distribution's standard deviation?
Question 24
Multiple Choice
The mean score of a college entrance test is 500; the standard deviation is 75. The scores are normally distributed. What percent of the students scored below 320?
Question 25
True/False
Some normal probability distributions are positively skewed.
Question 26
Multiple Choice
The weekly mean income of a group of executives is $1,000 and the standard deviation of this group is $100. The distribution is normal. What percent of the executives have an income of $925 or less?
Question 27
Essay
From past history, the scores on a statistics test are normally distributed with a mean score of 70 and a standard deviation of 5. To earn a "C" on the test, a student must be in the top 25% of the class. A student would need to score at least ______ to receive a "C" grade.
Question 28
Essay
A major credit card company has determined that customers charge between $100 and $1,100 per month. If the monthly amount charged is uniformly distributed, the average charge would be ______.
Question 29
Multiple Choice
What is an important similarity between the uniform and normal probability distributions?
Question 30
Short Answer
The proportion of the area under a normal curve that is to the right of z = -1.21 is _______.
Question 31
Short Answer
After arriving at the university student medical clinic, the waiting times to receive service after checking-in follow an exponential distribution with a mean of 10 minutes. Calculate the probability a student waits more than 12 minutes.
Question 32
Multiple Choice
The standard normal probability distribution is unique because it has _________.
Question 33
Multiple Choice
If an average of 12 customers is served per hour, what is the probability that the next customer will arrive in 3 minutes or less?
Question 34
Essay
Describe the normal distribution.
Question 35
Short Answer
In the exponential distribution, the mean and standard deviation are equal to ______________.
Question 36
Multiple Choice
For a standard normal distribution, what is the probability that z is greater than 1.75?
Question 37
Short Answer
In a uniform distribution, with a minimum, a, and maximum, b, the probability that the random variable, x, is between a and (b - a)/2 is ___________.
Question 38
Multiple Choice
The annual commissions per salesperson employed by a retailer of mobile communication devices averaged $40,000, with a standard deviation of $5,000. What percent of the salespersons earn between $32,000 and $42,000?