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Suppose a garage has 2 gates one with Poisson distribution of 3 cars/hour and the other gate 4 cars/hour. What is the probability of 3 car entering the garage in a given hour?
If you pick a card at random from a well-shuffled deck, what is the probability that you get a spade or a two?
An instant lottery scratch off game offers a 0.04 probability of winning on any one play. Plays are independent of each other. If you play 8 times, what is the probability you win at least once?
If given a random sample size from a normally distributed population, the mean of the sample, and the standard deviation. How would you find what the population mean should be?
Construct the table of pay-offs (i.e the expected profits) to the two builders and find the maximum profit each can reasonably expect to get.
The rejection region of a hypothesis test is F>F(0.05,11,11)=2.82 and the test statistic is F=2.2644 at a level of significance 0.05. How would you find the p-value of this test?
Without further calculation sketch the pay-off set and identify the pay-offs corresponding to jointly admissible strategies.
Assume that the probability of a male birth is 0.5 and that the binomial distribution is applicable. Determine the probability that a couple with 3 children has at least 2 boys.
Assuming that each player wishes to maximise their probability of winning, construct the pay-off table.
Suppose that 65% of all those who enroll at the university of Iowa finish in 6 years. What is the probability that 5 freshman selected at random will all finish in 6 years?
Assuming all sex distributions to be equally probable, what proportion of families with exactly six children should be expected to have three boys and three girls?
Calculate all forecasting smoothing methods that you know (naïve, exponential smoothing, 2PMA, 3PMA, and ???) and determine the best method. Rank all the methods starting from the best. Suppor
If X1 and X2 are independent random variables, X1 has a chi-square distribution with 3 degrees of freedom. Prove that X2 has a chi-square distribution with 4 degrees of freedom.
The Hughes Supply Company uses an inventory management method to determine the monthly demands for various products.
Use exponential smoothing with a smoothing constant of .2 and an initial value of 9.29 to forecast the yield for January 2007.
The demand values for the 12 months of 2006 for one electrical fixture are presented in Table below. Use exponential smoothing with a smoothing constant of .5 and an initial value of 205 to forecast
50, 33, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively. Identify which type of sampling is used and why?
A box in a certain supply room contains four 40-W lightbulbs, three 60-W bulbs, and six 75-W bulbs. What is the probability that exactly two of the selected bulbs are rated 75-W?
Assume there are 18 homes in the Quail Creek area and 9 of them have a security system. What is the probability all four of the selected homes have a security system?
The probability the second truck is available is .51, and the probability that both trucks are available is .43. What is the probability neither truck is available?
Find the probability that 70 randomly selected washing machines will have a mean replacement time less than 9.1 years.
Each question has 4 possible answers of which one is correct. If all answers are random guesses, estimate the probability of getting at least 20% correct.
Suppose that a certain college class contains 65 students of these, 35 are seniors, 37 are economic majors. What is the probability that the student is both a senior and an economics major?
Compute the correlation coefficient. Determine the equation of the least squares line by calculating the slope and Y-intercept.Use this equation to forecast the number of books sold if 5.2 feet of s
They select every 20th person from the list until a sample of 100 is obtained. They then call these 100 people. Does this sampling plan result in a random sample? Simple random sample? Explain.