Exam 6: Continuous Distributions

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If the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140, inclusively (90 \le x \le 140), then the standard deviation of this distribution is __________________.

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Participants in a 2 day biking event, cross the finish line at a rate of 10 bike riders per fifteen minute interval.The probability that at least 2 minutes will elapse between bike riders is closest to _____________.

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Let z be a normal random variable with mean 0 and standard deviation 1.The 75th percentile of z is most closely reflected by ____________.

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Many human characteristics such as height and weight and many variables such as household insurance and cost per square foot of rental space are normally distributed.

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Let z be a normal random variable with mean 0 and standard deviation 1.What is P(z < 1.3)?

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If the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140, inclusively (90 \le x \le 140), then P(x = exactly 100)is __________________.

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Based on the caterer's experience, 38% of attendees to events will prefer chicken for the main dish.As the caterer plans for an event attended by 780 individuals, the normal approximation will be used for the binomial with a correction for continuity.In this case, what is the probability that less than 300 will prefer chicken?

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Suppose the total time to fill a routine prescription at a local pharmacy averages 35 minutes starting from the time the physician places the order to the time it is dispensed.Assume the standard deviation is 11 minutes.A z score was calculated for a number, and the z score is 3.4.What is x?

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If x is uniformly distributed over the interval 8 to 12, inclusively (8 \le x \le 12), then P(x \ge 10)is __________________.

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If x is uniformly distributed over the interval 8 to 12, inclusively (8 \le x \le 12), then the probability, P(9 \le x \le 11)is __________________.

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Completion time (from start to finish)of a building remodeling project is normally distributed with a mean of 200 work-days and a standard deviation of 10 work-days.The probability that the project will be completed within 185 work-days is ______.

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The normal distribution is an example of _______.

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Let z be a normal random variable with mean 0 and standard deviation 1.What is P(1.3 < z < 2.3)?

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If x, the time (in minutes)to complete an change job at certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 \le x \le 30), then the probability that an oil change job will be completed 24 minutes or more, i.e., P(x \ge 24)is __________________.

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The exponential distribution is an example of _______.

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Based on the caterer's experience, 38% of attendees to events will prefer chicken for the main dish.As the caterer plans for an event attended by 780 individuals, the normal approximation will be used for the binomial with a correction for continuity.In this case, what is the standard deviation of the number that she would expect to prefer chicken, when determining the probability that at less than 300 will prefer chicken?

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Let z be a normal random variable with mean 0 and standard deviation 1.The 90th percentile of z is most closely reflected by ____________.

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Sure Stone Tire Company has established that the useful life of a particular brand of its automobile tires is normally distributed with a mean of 40,000 miles and a standard deviation of 5000 miles.What is the probability that a randomly selected tire of this brand has a life of at least 50,000 miles?

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The area under the standard normal distribution between 0 and 2 is twice the area between 0 and 1.

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The exponential distribution is especially useful in queuing problems to analyze the interarrival times.

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