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1. Suppose that the number of cars, X, that pass through a car wash between 4:00pm and 5:00pm on any sunny Friday has the following probability distribution:
X 4 5 6 7 8 9P(X=x) 1/12 1/12 ¼ ¼ 1/6 1/6
What is the probability that at least 7 cars pass through the car wash?
2. A large university that is better known for its football program than its academic strength claims that 80% of its football players graduate. An investigation examines the fate of all 20 players who enter the program over a period of several years that ended 6 years ago. Of these players, 11 graduated and 9 are no longer in school. If the university's claim is true, the number of players who graduate among the 20 studied should have the Binomial (20, 0.8) distribution.
a. Determine the mean number of graduates out of 20 players assuming the university's claim is true.
b. Find the probability that 11 or fewer player's graduate.
c. What can you conclude?
If the population mean is 36, are the serial killers significantly more introverted at the .05 level? Perform the appropriate one-tailed test.
The instructor has "covered" Autocorrelation Function (ACF) and Partial Autocorrelation Function (PACF), but I have not yet grasped a full understanding.
When is it best to use either of them? What types of variables can you apply them to, how many variables can each encompass, and which can be employed for a prediction of a new observation?
Tompkins Associates reports that the mean clear height for a Class A warehouse in the Unites States is 22 feet. Suppose clear heights are normally distributed and that the standard deviation is 4 feet.
The resistances of carbon resistors of 1500 ohm nominal value are normally distributed with µ = 1500 and standard deviation = 200. What proportion of resistors is expected to have resistance greater than 1150 ohm?
Find out 90% confidence interval for the population average µ of the percentage of hospitals providing at least some charity care.
The resulting equation for the line of best fit is given below, with x being observed for values between 10 and 200. If a production run was scheduled to produce 80 units, what would you predict the cost per unit to be in dollars?
For given population of high school seniors, the schoolastic aptitude test (SAT) in mathemathics has mean score of 500 with the standard deviation of 100.
Based on this sample, is Moe correct in his assertion? Write up formal commentary of results of your test.
For a random sample of 12 days at the Downtown location, the mean number sold was 78.80 and the standard deviation was 14.25. At the .05 significance level, is there a difference in the mean number of hamburgers sold at the two locations?
The ANOVA table is given below,as well as a table of means and standard deviations for the three groups. Evaluate the t statistic for testing contrast
Suppose you know that the distribution of sample proportions of nonresidents in samples of 200 students is normal with a mean of 0.04 and a standard deviation of 0.03.
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