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Let X be the number of random numbers selected from 10, 1, 2, . . . , 9} independently until 0 is chosen. Find the probability functions of X and Y = 2X + 1.
The mean number of words per minute read by sixth graders is 89 with a standard deviation of 16. If 66 sixth graders are randomly selected, what is the probability that the sample mean would be greater than 92.25?
In a poll to estimate presidential popularity, each person in a random sample of 1000 voters was asked to agree with one of the following statements:
In many state lotteries you can choose which numbers to play. Consider a common form in which you choose 5 numbers. Which of the following strategies can improve your chance of winning? If the method works, explain why. If not, explain why using a..
the owners of a two-person business make their decisions independently of each other and then compare their decisions.
Under similar driving conditions, they were tested again, using a special additive. The data are shown here. At a = 0.05, did the additive improve gas mileage? Use the Wilcoxon signed-rank test.
What is the portion of students obtaining scores between 85 and 95 and what is the score needed to be at the top 10% of the class and what is the probability that the value of the portfolio is greater than $2,000?
Iindependently of one another. Two hundred seeds of such a cross are raised, and 142 turn out to be blue-flowering. Are the data consistent with the model?
The company wishes to maximize its expected discounted profit over an infinite horizon with = 0.9. Use an initial policy,
Building elevators are limited to about 800 meters. Above that height, elevator cables become too thick and too heavy for practical use. One solution is to eliminate the cable.
What is the slope and intercept from your estimation? What do they indicate - Are intercept and slope coefficients statistically significant (explain your hypothesis tests) - What is the R2 of the CAPM regression? What does it indicate?
The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude toward school, and study habits of students. Scores range from 0 to 200.
Suppose that lifetimes of such mice are normally distributed with standard deviation of 6 months, determine the probability that given mouse will live?
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