Exam 6: Continuous Distributions

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If x, the time (in minutes)to complete an oil change job at a 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 is completed in 33 to 35 minutes, inclusively, i.e., P(33 ≤\le x ≤\le 35)is ___.

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If x, the time (in minutes)to complete an oil change job at a certain auto station, is uniformly distributed over the interval 20 to 30, inclusively (20 ≤\le x ≤\le 30), then the probability that an oil change job is completed in less than or equal to 22 minutes, i.e., P(x ≤\le 22)is ___.

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Normal distribution is a skewed distribution with its tails extending to infinity on either side of the mean.

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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 and a z score of 0 was calculated.What is the value of x?

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If x, the time (in minutes)to complete an oil change job at a 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 is completed in less than 17 minutes, i.e., P(x < 17)is ___.

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If the probability of a binomial distribution was considering values that were greater than 14, then the correction for continuity would start at 13.5.

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Binomial distributions in which the sample sizes are large may be approximated by a Poisson distribution.

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