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In given problem, suppose that a cost is imposed of an amount equal to the square of the number of additional hours of sleep. What is the expected cost? Explain.
Problem According to an article in Travel and Leisure, every person in a small study of sleep during vacation was found to sleep longer than average during the first vacation night.1 Suppose that the number of additional hours slept in the first night of a vacation, over the person's average number slept per night, is given by the following probability distribution:
x
P(x)
0
0.01
1
0.09
2
0.30
3
0.20
4
5
0.10
6
a. Verify that P(x) is a probability distribution.
b. Find the cumulative distribution function.
c. Find the probability that at most four additional hours are slept.
d. Find the probability that at least two additional hours are slept per night.
Before computing the correlation, state the null hypothesis and alternative hypothesis in words (not formulas)., Based on the hypotheses you stated, explain whether the researcher should conduct a one-tailed or two-tailed test.
Use Chebyshev’s Inequality to solve this problem. Show your work. A machine used to fill cereal boxes dispenses on average µ ounces per box. The manufacturer wants the actual amount dispensed, Y , to be within 1 ounce of µ at least %93 of the time. W..
Determine if occupation is independent of gender. Justify the answer with a probability calculation
the age distribution of students at a community college is given below. age years number of students f under 21 2065
Obvious tests In many cases, hypothesis testing is used when the evidence is obvious. For example, why would you even bother testing if the true mean is 50 ppm?
Comprehensive report is required indicating all the steps done and how we determine which model is good. (R or Excel can also be used. But mostly R needs to be done).
Suppose that one fisher from each park is chosen at random. What is the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license?
Kris bought a new fur coat for $8,000. She must pay 5% sales tax and 7% excise tax. The furrier is shipping the coat, so Kris must also pay a $15 insurance charge. What is the total purchase price of the coat
With reference to Exercise 78, use the result of part (b) of Exercise 40 to construct 98% limits of prediction for the average weekly net profit of a restaurant with a seating capacity of 210 at a location where the daily traffic count averages 1..
Drivers stop to fill up their cars at a service station according to a Poisson process with rate λ = 15 per hour. The service station has only one gasoline pump, and there is room for only two waiting cars. We suppose that the average service time..
It is known that a healthy human body has an average temperature of 98.6?F, with a standard deviation of 0.95?F. Sixty healthy humans are selected at random. What is the probability that their temperatures average at least 99.1?F?
Identify and explain at least two causes of World War I. Then analyze the events that drew the United States into World War I. Evaluate America's contribution to the war effort and to what extent America's entry contributed to the end of the war. ..
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