News articles that link to related stories are widely used in Web marketing. With a largenumber of daily visitors to a Web page, we model the proportion of daily visitors who clickon a link to a related story as approximately a continuous random variable with a betadistribution. The parameters are α = 6 and B = 1.a. What is the mean and standard deviation of the proportion of visitors who click?b. What is the probability a proportion exceeds 0.58?c. What proportion is exceeded with probability 0.33?d. If 550 visitors view the page, what is the expected number of visitors who click ona link to a related story?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Beef Consumption. According to Food Consumption, Prices, and Expenditures, published by the U.S. Department of Agriculture, the mean consumption of beef per person in 2011 was 57.5 lb. A sample of 40 people taken this year yielded the data, in pounds, on last year’s beef consumption given on the WeissStats site. Use the technology of your choice to do the following. a. Obtain a normal probability plot, a boxplot, a histogram, and a stem-and-leaf diagram of the data on beef consumptions. b. Decide, at the 5% significance level, whether last year’s mean beef consumption is less than the 2011 mean of 57.5 lb. Apply the onemean t-test. c. The sample data contain four potential outliers: 0, 0, 0, and 13. Remove those four observations, repeat the hypothesis test in part (b), and compare your result with that obtained in part (b). d. Assuming that the four potential outliers are not recording errors, comment on the advisability of removing them from the sample data before performing the…
Suppose that the distance of fly balls hit to the outfielder ( in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.a. In words define the random variable. X________.b. What is the probability that the 49 balls traveled an average at least of 240 feet. Include a complete shaded graph, and write the probability statement. c. Find the 90th percentile of the distribution of the average of 49 fly balls.
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A study found that there was 48% chance that the driver fails a breathalyzer test when it is administered on a Friday night. The test is administered to 80 drivers. What distribution that can be used to model the above situation. How many drivers do we expect to fail the test
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
7a. Suppose you go to Alaska in February where the chance of snow is .90 (90 percent). You are there for two days. Make the probability distribution associated with this experience. b. Find the mean, variance, and standard deviation for number 7.
In a local university, 80% of the students live in the dormitories. A random sample of 64 students is selected for a particular study. The standard deviation of p-bar is a. 64 b. 0.05 c. 1.6 d. 0.16 e. 0.5
ents this quarter: The Environmental Protection Agency (EPA) fuel economy estimates for automobile models tested recently predicted a mean of 25.8 miles per gallon, with a standard deviation of 5.2 miles per gallon. Assume that a Normal model applies. Find the probability that a randomly selected automobile will average: 1. Less than 21 miles per gallon. 2. More than 15 miles per gallon. 3. Between 24 and 30 miles per gallon. ular paper, making sure to number each problem so I know what work goes with which problem. e sure to complete and sign the academic honesty statement for each assignment you complete this quarter. If you a nvas. Make sure to check your f6ler for legibility and completeness before unlnading
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