Exam 5: Normal, Binomial, Poisson, and Exponential Distributions

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What is the probability that GM will sell between 2.0 and 2.3 million cars during the next year?

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  =   = 0.8184 =   =   = 0.8184 = 0.8184

According to the empirical rule, how many observations lie within +/- 2 standard deviation from the mean?​

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C

What is the probability that more than one of the 20 new microwaves sold will require a warranty repair in the first 90 days?

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P(X > 1) = 0.2642

What is the probability that a randomly selected customer will spend $20 or more?

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What is the probability that fewer than 33 customers arrive at this checkout counter in a given hour?

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The total area under the normal distribution curve is equal to one.

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What is the expected number of the new microwaves sold that will require a warranty repair in the first 90 days?

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If we plot a continuous probability distribution f(x), the total probability under the curve is:

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We assume that the outcomes of successive trials in a binomial experiment are:

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A Poisson distribution is appropriate to determine the probability of a given number of defective items in a shipment.

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How many hamburgers must the restaurant stock to be 99% sure of not running out on a given day?

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What is the probability that it will take a technician between 10 to 15 minutes to fix a computer problem?

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The binomial distribution deals with consecutive trials, each of which has two possible outcomes.

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A continuous random variable X has the probability density function: f(x) = 2 A continuous random variable X has the probability density function: f(x) = 2   ,   0 -What is the distribution of X and what are the parameters? , A continuous random variable X has the probability density function: f(x) = 2   ,   0 -What is the distribution of X and what are the parameters? 0 -What is the distribution of X and what are the parameters?

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The normal distribution is a:

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The results of tossing a coin can be portrayed in a(n):

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If X is a normal random variable with a standard deviation of 10, then 3X has a standard deviation equal to:

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The standard normal distribution has a mean and a standard deviation respectively equal to:

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Find the probability distribution of X.

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What number of cars, equidistant from the mean, such that 90% of car sales are between these values?

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