Exam 6: Continuous Distributions

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Suppose the total time to fill a routine prescription at a local pharmacy is 35 minutes based on 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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Suppose the total time to fill a routine prescription at a local pharmacy is 35 minutes based on the time the physician places the order to the time it is dispensed.Assume the standard deviation is 11 minutes and the z score is 0. What is x?

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A z score is the number of __________ that a value is from the mean.

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Suppose you are working with a data set that is normally distributed with a mean of 400 and a standard deviation of 20. Determine the value of x such that 60% of the values are greater than x.

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The normal distribution is an example of _______.

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Suppose 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 height of this distribution,f(x),is __________________.

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A uniform continuous distribution is also referred to as a rectangular distribution.

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If variable x is normally distributed with mean 0 and standard deviation 1,x ~ N(0,1),then the probability that x is exactly 0 is _________.

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The average time between phone calls arriving at a call center is 30 seconds.Assuming that the time between calls is exponentially distributed,find the probability that more than a minute elapses between calls.

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The height of the rectangle depicting a uniform distribution is the probability of each outcome and it same for all of the possible outcomes

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In a standard normal distribution,if the area under curve to the right of a z-value is 0.10,then the area to the left of the same z-value is -0.10.

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The probability that a call to an emergency help line is answered in less than 10 seconds is 0.8.Assume that the calls are independent of each other.Using the normal approximation for binomial with a correction for continuity,the probability that at least 75 of 100 calls are answered within 10 seconds is approximately _______

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Most graduate business schools require applicants to take the GMAT.Scores on this test are approximately normally distributed with a mean of 545 points and a standard deviation of 100 points.What score do you need to be in the top 5% (approximately the scores needed for top schools)?

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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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For an exponential distribution with a lambda (l)equal to 20,the mean equal to _______.

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If x is uniformly distributed over some interval.The mean value (μ)of x is 2 and its variance (σ2)is 1/3.The probability that x is between 2 and 2.5,P(2 \le x \le 2.5),is _________.

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Let z be a normal random variable with mean 0 and standard deviation 1.What is P(-2.25 < z < -1.1)?

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Employees arrive at a cafeteria according to a Poisson process at an average rate of 30 employees per hour.The average waiting time between employees' arrivals is _________ minutes.

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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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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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