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A fantasy sports league is making up their season schedule. The league has 12 teams, with eight teams from Purdue, and the rest from IU. If we assume each team's opponents are randomly assigned but they cannot play with the any of the other teams more than once. Each team has 6 games in a season. Pete is in this league and he is from Purdue. Pete is trying to figure out some probabilities related to the season schedule for his team. (Note: even though there are 12 teams, Pete's team cannot play itself.) a) Let X be the number of teams from IU on Pete's season schedule. What's the probability that none of the Pete's opponents are from IU? What distribution and parameter(s) are you using? b) What's the probability that 2 or 3 of the Pete's opponents are from IU? c) How many of Pete's opponents does he expect to be from Purdue? d) Knowing that at least 2 of Pete's opponent are from the Purdue, what is the probability that between 3 and 5 (inclusive) are from Purdue?
A sample of 36 packages reveals the mean weight to be 3.01 pounds, with a standard deviation of 0.03 poounds. What is the estimated population mean?
A contractor is considering a sale that promises a profit of $34,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of $16,000 with a probability of 0.3. What is the expected profit?
The national average SAT score (for Verbal and Math) is 1028. Suppose that nothing is known about the shape of the distribution and that the standard deviation is 100. If a random sample of 200 scores were selected and the sample mean were calcula..
The director of Heating and Oil at Mitchell Brothers Company is concerned about the high cost of home heating oil being offered to their customers for the upcoming Fall season in Boston, MA. The company has no possibility of modifying the oil pri..
What type of error has possibly been committed? Explain the error in ordinary language.
Is the event of choosing card green or blue on the first selection independent of choosing card green or red on the second selection? Why or why not?
OHIP records show the average length of stay in Ontario hospitals is 5.4 days. A researcher sampled 125 patient records at US hospitals and found that the mean stay was 4.6 days
Develop a 95% confidence interval for the proportion of the population of adults who feel customer service is better today than it was 2 years ago.
Complementation to describe each of the following events in terms of A1, A2, and A3, draw a Venn diagram, and shade the region.
Suppose you are working with a data set that is normally distributed with a mean of 400 and a standard deviation of 20. Determine the value of x such that only 1% of the values are greater than x. (how to find the value of x with z score)
Suppose a firm evaluates the productivity of the three shifts of workers who work in their factory. Each shift's performance is measured based on the amount of output that is produced during the shift - day, evening, or swing shift.
According to Chebyshev's Theorem, how many students scored between 24 and 78? Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 24 and 78?
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