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Laabri

Statistics Final Exam

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Last updated over 3 years ago
10 Nsɛmmisa

Please make sure to take your time and read through each question thoroughly. Follow instructions for each question accordingly.

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Decide if the random variable x is discrete or continuous. Explain your reasoning.

Let x represent the number of lightning strikes that occur in Wyoming during the month of June.

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2.

A binomial distribution has more than two outcomes.

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3.

The success rate of corneal transplant surgery is 85%. The surgery is performed on six patients. On the background or on a separate sheet of paper show your work as you:

(a) Find the mean, variance, and standard deviation of the probability distribution and interpret its results.

(b) Find the probability that the surgery is successful for exactly 3 patients.

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4.

One in four people in the United States own individual stocks. You randomly select 12 people and ask them if they own individual stocks. Find the probability that the number who say they own individual stocks is at least two.

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5.

The access code for a warehouse's security system contains six digits. The first digit cannot be 0 and the last digit must be even. How many access codes are possible?

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6.

The mean annual salary for a sample of electrical engineers is $86,500, with a standard deviation of $1500.

The salaries of three randomly selected electrical engineers are $93,500, $82,750, $85,600. Find the z-score that corresponds to each salary respectively.

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7.

Decide if the events are mutually exclusive.

Event A: A golfer scoring the best round in a four-round tournament.

Event B: Losing the golf tournament.

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8.

77% of college students pay their tuition on time. You randomly select 3 U.S. college students and ask them whether they pay their bills on time. Construct a probability distribution.

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Asemmisa {{asɛmmisaAhyɛnsode}}
9.

The table to the left lists the number of U.S. mainland hurricane strikes for various intensities according to the Saffir-Simpon hurricane scale.

What is the probability that the hurricane will have an intensity of 2?

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Asemmisa {{asɛmmisaAhyɛnsode}}
10.

The table to the left lists the number of U.S. mainland hurricane strikes for various intensities according to the Saffir-Simpon hurricane scale.

What is the probability that the hurricane will have an intensity of at least 2?