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Question: Ed and Adelaide attend the same high school, but are in different math classes. The time E that it takes Ed to do his math homework follows a Normal distribution with mean 25 minutes and standard deviation 5 minutes. Adelaide's math homework time A follows a Normal distribution with mean 50 minutes and standard deviation 10 minutes. Assume that E and A are independent random variables.
(a) Randomly select one math assignment of Ed's and one math assignment of Adelaide's. Let the random variable D be the difference in the amount of time each student spent on their assignments: D = A - E. Find the mean and the standard deviation of D. Show your work.
(b) Find the probability that Ed spent longer on his assignment than Adelaide did on hers. Show your work.
Comparing batting averages Three landmarks of baseball achievement are Ty Cobb's batting average of 0.420 in 1911, Ted Williams's 0.406 in 1941.
With regard to the standard deviation, illustrate how and why the larger the deviation number, the more difficult it would be to predict an outcome. Use specific examples to illustrate.
Specify the explanatory and response variables, and explain whether confounding variables were likely to be a major problem in interpreting the results. Be sure to include the news article with your response.
A wooden cube with painted faces is sawed up into 1000 little cubes, all of the same size. The little cubes are then mixed up, and one is chosen at random. What is the probability of its having just two painted faces?
What is the probability that the average section in the sample can withstand an earthquake measuring at least 3.6 on the Richter scale?
a consumer advocacy group recorded several variables on 140 models of cars. the resulting information was used to
A binary phase shift keying signal is defined. - Determine the autocorrelation function for the random process. - Is the process WSS?. - Determine the PSD.
Let Mue1 and Mue2 represent the average amount of nitrogen per batch for fertilizer's A and B, respectively.
Explain the relationship between sample size and the likelihood of a statistically significant difference between the measured values of two groups.
ABC Corporation of California publishes a variety of statistics, including the number of individuals who got a new job during the past 12 months and the mean length of time the individuals have been on the job.
Potato chips. The weight of potato chips in a mediumsize bag is stated to be 10 ounces. The amount that the packaging machine puts in these bags is believed.
Explain why they chose to incorporate references to previous artistic traditions in their work.
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