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Find the mean, variance, and standard deviation of the random variable in given problem.
ProblemAccording 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.
If the monthly demand for videos on average is 180 and standard deviation = 60, what is the number of videos the manager should order to meet 90% customer demand?
Find out the best predicted household size given that the household discards 5.00 lb of plastic.
At the present time, the warehouse is 40 feet deep. How many feet of depth should be added on the warehouse to minimize the annual inventory costs?
What analyses you performed - your description of the results should be sufficiently clear that the reader could reproduce your results
Skilled labor is required to produce the handles and the blades. Cheaper unskilled labor is used to assemble and package the final products. There is sufficient storage area of store the finished product prior to shipping. Assume all raw material..
Test, at the 5 percent level, the hypothesis that an earthquake is equally likely to occur on any of the 7 days of the week.
Compute a 90% confidence interval of the mean for a Weschler intellegence test with mean of 100.00 and standard deviation of 15.00 for a sample of 100 people. Use two decimal places.
3 section of a statistics class containing 28,32 and 35 students averaged 83,80 and 76 respectively on same final exam. what 's the combined population means of all the 3 sections ?
The third door leads to a tunnel that returns him to his mine after ?ve hours. Assuming that the miner is at all times equally likely to choose any one of the doors, what is the expected length of time until the miner reaches safety?
Bootstrap the autocorrelations of Figure 2, and compare the bootstrap confidence intervals to the dashed lines given in the plots.
We can assign probabilities to values of using the normal density curve with mean 0.30 and standard deviation 0.023. Use this density curve to find the probabilities of the following events.
Make a point estimate and a 95% confidence interval estimate.
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