Questions from Applied Statistics


Q: The probability that an eagle kills a rabbit in a day of

The probability that an eagle kills a rabbit in a day of hunting is 10%. Assume that results are independent for each day. a. What is the distribution of the number of days until a successful hunt? b...

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Q: An electronic scale in an automated filling operation stops themanufacturing line after

An electronic scale in an automated filling operation stops themanufacturing line after three underweight packages are detected. Suppose that the probability of an underweight package is 0.001 and eac...

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Q: The number of telephone calls that arrive at a phone exchange is

The number of telephone calls that arrive at a phone exchange is often modeled as a Poisson random variable. Assume that on the average there are 10 calls per hour. Determine the following probabiliti...

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Q: A shipment of chemicals arrives in 15 totes. Three of the

A shipment of chemicals arrives in 15 totes. Three of the totes are selected at random without replacement for an inspection of purity. If two of the totes do not conform to purity requirements, what...

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Q: Traffic flow is traditionally modeled as a Poisson distribution. A traffic

Traffic flow is traditionally modeled as a Poisson distribution. A traffic engineer monitors the traffic flowing through an intersection with an average of six cars per minute. To set the timing of a...

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Q: The number of messages that arrive at aWeb site is a Poisson

The number of messages that arrive at aWeb site is a Poisson random variable with a mean of five messages per hour. a. What is the probability that five messages are received in 1.0 hour? b. What is t...

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Q: The probability that your call to a service line is answered in

The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are independent. a. If you call 10 times, what is the probability that exactly nine...

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Q: The number of errors in a textbook follows a Poisson distribution with

The number of errors in a textbook follows a Poisson distribution with a mean of 0.01 error per page. What is the probability that there are three or fewer errors in 100 pages?

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Q: The probability that an individual recovers from an illness in a one

The probability that an individual recovers from an illness in a one-week time period without treatment is 0.1. Suppose that 20 independent individuals suffering from this illness are treated with a d...

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Q: Patient response to a generic drug to control pain is scored on

Patient response to a generic drug to control pain is scored on a 5-point scale where a 5 indicates complete relief. Historically, the distribution of scores is Two patients, assumed to be independent...

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