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Exam 5: Normal, binomial, poisson, and Exponential Distributions

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Question 21

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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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Question 22

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Find the mean and the variance of X.

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E(X)= 2,an...

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Question 23

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(A)Using the binomial distribution,find the probability that 6 or more of the 30 students taking this course in a given semester will withdraw from the class. (B)Using the normal approximation to the binomial,find the probability that 6 or more of the 30 students taking this course in a given semester will withdraw from the class. (C)Compare the results obtained in (A)and (B).Under what conditions will the normal approximation to this binomial probability become even more accurate?

What is the probability that the number of customers who arrive at this checkout counter in a given hour will be between 30 and 35 (inclusive)?

The number of loan defaults per month at a bank is Poisson distributed.

A Poisson distribution is:

What two dollar amounts,equidistant from the mean of $30,such that 90% of all customer purchases are between these values?

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

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

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

What is the variance of the time it takes a technician to fix a computer problem?

What is the probability that a randomly selected customer will spend between $20 and $35?

The Poisson random variable is a discrete random variable with infinitely many possible values.

What is the probability that a randomly selected customer will spend less than $15?

Tossing a coin is an example of a (n)

Using the standard normal curve,the Z- score representing the 10th percentile is 1.28.

What is the probability of getting a score higher than 85 on this exam?

What type of probability distribution will most likely be used to analyze warranty repair needs on new microwaves in this situation?

Using the standard normal distribution,the Z- score representing the 99th percentile is 2.326.

What is the probability that this company will sell between 2.0 and 2.15 million cars next year?