Exam 7: Continuous Probability Distributions

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What is special about the standard normal distribution?

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For the standard normal distribution, what z-score corresponds with the 85% percentile? _________

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If an average of 12 customers are served per hour, then one customer arrives every

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In a uniform distribution, with a minimum, a, and maximum, b, the probability that the random variable, x, is between a and b is ___________.

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A binomial distribution has 100 trials (n = 100) with a probability of success of 0.25 ( π\pi =0.25). We would like to find the probability of 34 or more successes using the normal distribution to approximate the binomial. Applying the continuity correction factor, what z-score should be used?

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The exponential distribution is a probability distribution for a random variable measured as a rate of an event occurring.

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If an average of 60 customers are served per hour, then one customer arrives every

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How is the standard deviation of a uniform distribution computed? _________

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The total area of a normal probability distribution is

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For the standard normal distribution, what z-score corresponds with the first quartile? _________

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What is a normal distribution with a mean of 0 and a standard deviation of 1 called?

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What proportion of the area under a normal curve is to the left of z = 1.40? ________

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The shape of the uniform distribution is ____________.

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For any uniform probability distribution, the mean and standard deviation can be computed by knowing the maximum and minimum values of the random variable.

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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?

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A sample of 500 evening students revealed that their annual incomes were normally distributed with a mean income of $30,000 and a standard deviation of $3,000. How many students earned between $27,000 and $33,000? ______

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Two normal distributions are compared. One has a mean of 10 and a standard deviation of 10. The second normal distribution has a mean of 10 and a standard deviation of 2. Which of the following is true?

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Which of the following is true in a normal distribution?

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Two business major students, in two different sections of an economics class, were comparing test scores. The following gives the students scores, class mean, and standard deviation for each section. Two business major students, in two different sections of an economics class, were comparing test scores. The following gives the students scores, class mean, and standard deviation for each section.   What is the z-score of the student from section 1? _____________ What is the z-score of the student from section 1? _____________

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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 probability that between 110 and 130 of the new members are novice tennis players?

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