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The manager of a local soft drink bottling company believes that when a new beverage-dispensing machine is set to dispense 7 ounces, it in fact dispenses an amount x at random anywhere between 6.5 and 7.5 ounces inclusive. Suppose x has a uniform probability distribution.

a. is the amount dispensed by the machine a discrete or a continuous random variable?

b. Find the mean and standard deviation for the distribution.

c. what is the probability that for a randomly selected bottle the machine will dispense at 6.75 ounces?

d. what is the probability that for a randomly selected bottle the machine will dispense more than 7.25 ounces?

e. what is the probability that for a randomly selected bottle the amount the machine dispenses is within one standard deviation of he mean?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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