Exam 6: Continuous Random Variables

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____________ values of the standard deviation result in a normal curve that is wider and flatter.

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C

If the distances between the ordered data values are proportional to the distances between the actual values,then the normal probability plot will be a straight line.

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The average time a subscriber spends reading the local newspaper is 49 minutes.Assume the standard deviation is 16 minutes and that the times are normally distributed.What is the probability a subscriber will spend at least 1 hour reading the paper?

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The life of a light bulb is exponentially distributed with a mean of 1,000 hours.What is the probability that the bulb will last less than 800 hours?

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The weight of a product is normally distributed with a mean of 5 ounces.A randomly selected unit of this product weighs 7.1 ounces.The probability of a unit weighing more than 7.1 ounces is .0014.The production supervisor has lost files containing various pieces of information regarding this process,including the standard deviation.Determine the value of the standard deviation for this process.

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The area under the curve of a valid continuous probability distribution must ____________.

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The weight of a product is normally distributed with a standard deviation of .5 ounces.What should the average weight be if the production manager wants no more than 5 percent of the products to weigh more than 5.1 ounces?

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The thickness of a randomly selected metal piece is a ___________ random variable.

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An apple juice producer buys all his apples from a conglomerate of apple growers in one northwestern state.The amount of juice squeezed from each of these apples is approximately normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce.What is the probability that a randomly selected apple will contain more than 2.50 ounces?

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Consider a normal population with a mean of 10 and a variance of 4.Find P(X < 6).

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In a statistical study,the random variable X = 1 if the house is colonial,and X = 0 if the house is not colonial.The random variable X is continuous.

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A continuous probability distribution that is useful in describing the time or space between successive occurrences of an event is a(n):

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Find z when the area between z and -z is .9030.

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The life of a light bulb is exponentially distributed with a mean of 1,000 hours.What is the probability that the bulb will last more than 1,200 hours?

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The specific shape of each normal distribution is determined by its ____________ and ____________.

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The US local airport keeps track of the percentage of flights arriving within 15 minutes of their scheduled arrivals.The stem-and-leaf plot of the data for one year is below. The US local airport keeps track of the percentage of flights arriving within 15 minutes of their scheduled arrivals.The stem-and-leaf plot of the data for one year is below.   Compute the standardized quartile value O<sub>i</sub> for i = 4. Compute the standardized quartile value Oi for i = 4.

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The weight of a product is normally distributed with a standard deviation of .5 ounces.What should the average weight be if the production manager wants no more than 10 percent of the products to weigh more than 4.8 ounces?

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The cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes.What is the probability that the service time is no more than 3 minutes?

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The relationship between the standard normal random variable z and normal random variable X is that:

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The exponential probability distribution is based on a continuous random variable.

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