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Hardluck Harry has a batting average of .200 (i.e., a 20 percent chance of a hit each time he's at bat). Scouts for a rival baseball club secretly observe Harry's performance in 12 random times at bat. What is the probability that Harry will get at least 3 hits?
Gas station sells 1400 gallons of gasoline per hour if it charges $ 2.05 per gallon but only 1100 gallons per hour if it charges $ 2.95 per gallon. What should gasoline price be to sell 1000 gallons per hour?
Do you think they can be solved explicitly? Take the derivative of the gamma distribution and set it equal to zero and solve for alpha and beta to find the mle?
Consider a four digit uniform random number generator; as in each of the 10,000 values 0.0000 through 9999 is equally likely. Find the mean and variance of the values produced by such a random number generator.
The mean was 56 and the standard deviation was 20. On the second exam, she scored 82; the mean was 74 and the standard deviation was 5. On which exam did she do better?
A project manager at COMSOFT corporation has collected statistics on the organization's software development process. He has the size of each project in number of lines of code for the past 20 projects and the number of lines of code in error disc..
What is the probability that the debt for a borrower with good credit is more than $18,000?
What is the probability that all 3 would iPods from best buy? Or at least one would have iPod from best buy?
Conduct the appropriate analysis to determine if there was an effect of the music on completing problems. Construct the appropriate graph to show the differences in the scores of the two groups.
If mean height when these plants are treated with the certain chemical varies from 185. Define the null hypothesis H0 and alternative hypothesis H1 which we would use for this test.
The National Collegiate association (NCAA) reported that the mean number of hours spent per week on coaching and recruiting by college football assistant coaches during the season 70.
If there is a difference between the two groups of scores. Briefly explain how the difference may have been caused by the treatments.
Find the probability that in a given year a) exactly one major hurricane will strike the U.S. mainland, b) at most one major hurricane will strike the U.S. mainland.
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