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Homework Problems
1. The commuter trains on the Red Line for a city have a waiting time during peak rush hour periods of ten minutes.
State the random variable.
Find the height of this uniform distribution.
Find the probability of waiting between four and six minutes.
Find the probability of waiting more than 6 minutes.
2. Find the z-score corresponding to the given area. Remember, z is distributed as the standard normal distribution with mean of and standard deviation .
The area to the left of z is 25%.
The area to the right of z is 65%.
The area between and z is 90%. (Hint draw a picture and figure out the area to the left of the .)
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The regression equation is Y = 29.29 - 0.96X, the sample size is 8, and the standard error of the slope is 0.22. What is the critical value to test the significance of the slope at the 0.01 significance level?
A Model for the World Series Two teams A and B play a series of games until one team wins four games. We assume that the games are played independently and that the probability that A wins any game is p. What is the probability that the series las..
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a researcher has reason to believe that for an experiment with 50 points a 95 prediction interval would be of width 8.
A random sample of 166 firms in the Fortune top 1,000 was chosen, and 59 of the firms replied that they used the multiple-scenario approach. Conduct the hypothesis test at α = 0.05. What is the p-value?
A random sample is obtained from a normal popula- tion with a mean of m 5 95 and a standard deviation of s 5 40. The sample mean is M 5 86. Is this a representative sample mean or an extreme value for a sample of n 5 16 scores?
A lottery game contains 29 balls numbered 1 through 29. What is the probability of choosing a ball numbered 30?
Write a program to allow you to compare the strategies play-the-winner and play-the-best-machine for the two-armed bandit problem
Suppose we decide that the numbers 0-4 will represent babies with brown eyes and the numbers 5-9 will represent babies with eyes of other colors.
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