Probability Distributions

Dennis Hogan is the supervisor for the Conowingo Hydroelectric Dam. Mr. Hogan knows that the dam's turbines generate electricity at the peak rabe only when at least 1,000,000 gallons of water pass through the dam each day.

Given that a random variable, X, has a normal distribution with mean 6.4 and standard deviation 2.7, find

Given that a random variable, X, has a binomial distribution with n = 50 trials and p = 0.25, use the normal approximation to the binomial to find

In a normal distribution with a standard deviation of 5.0, the probability that an observation selected at random exceeds 21 is 0.14.

Use the normal approximation to compute the binomial probabilities in parts (a)-(e) below.

The manager of a small postal substation is trying to quantify the variation in the weekly demand for mailing tubes.

The Gilbert Machinery Company has received a big order to produce electric motors for a manufacturing a company.

The manager of a Spitty Lube auto lubrication shop is trying to revise his policy on ordering grease gun cartridges.

Jarrid Medical, Inc, is developing a compact kidney dialysis machine, but its chief engineer, Mike Crowe, is having trouble controlling the variability of the rate at which fluid moves through the device.

Sgt. Wellborn Fitte, the U>S> Army's quartermaster at Fort Riley, Kansas, prides himself on being able to find a uniform to fit virtually any recruit.

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