Question 5People visiting video rental stores often rent more than one DVD at a time. Theprobability distribution for DVD rentals per customer at Video To Go is given in thefollowing table. There is a five-video limit per customer at this store, so nobody everrents more than five DVDs.a) Complete the Tableb) Determine the Expected value of rentals per customer and its standardDeviation.Shirt# ≤ 2101-33 2134-66 666-99 6Question 6.In a previous year, the weights of the members of the San Francisco 49ers and the Dallas Cowboyswere published in the San Jose Mercury News. The factual data were compiled into the followingtable.211-25051812Height (cm) 10-11Frequency4251-290072212-1312 290045For the following, suppose that you randomly select one player from the 49ers or Cowboys.a. Find the probability that his shirt number is from 1 to 33.b. Find the probability that he weighs at most 210 pounds.c. Find the probability that his shirt number is from 1 to 33 AND he weighs at most 210 pounds.d. Find the probability that his shirt number is from 1 to 33 OR he weighs at most 210 pounds.e. Find the probability that his shirt number is from 1 to 33 GIVEN that he weighs at most 210pounds.Question 7.The table shown below is the height of plants observed in an experiment done by theepidemiologist14-1542X0123416-173418-1923P(x)0.030.500.240.075 0.041. Calculate the mean and standard deviation of the height.2. Given Skewness= -0.6 and Kurtosis = 1.2. Interpret these two values. Practice Questions.Question 1Suppose that the duration of a particular type of criminal trial is known to be normally distributed with amean of 21 days and a standard deviation of seven days.a. Fill in the blanks. X~b. If one of the trials is randomly chosen,i) Find the probability that it lasted at least 24 days.ii) Find the probability that it lasted between 20 and 26 days.iii) Find the probability that lasted 27 days.Question 2The average number of times per week that Mrs. Plum's cats wake her up at night because they want toplay is ten. We are interested in the number of times her cats wake her up each week.a) What distribution does X=the number of times her cats wake her up each week represent?b) Find the probability that her cats will wake her up no more than five times next week.c) Find the probability that her cats will wake up four times next week.d) Find the mean and deviation of the given distributionQuestion 3It has been estimated that only about 30% of California residents have adequate earthquake supplies.Suppose we are interested in the number of California residents we must survey until we find a residentwho does not have adequate earthquake supplies.a) What distribution does the random variable in the problem follow?b) What is the probability that we must survey just one or two residents until we find a Californiaresident who does not have adequate earthquake supplies?c) What is the probability that we must survey at least three California residents until we find aCalifornia resident who does not have adequate earthquake supplies?Question 4More than 96 percent of the very largest colleges and universities (more than 15,000 total enrollments)have some online offerings. Suppose you randomly pick 13 such institutions. We are interested in thenumber that offer distance learning courses.a) Define the random variable Xb) Find the probability that at most ten offer such courses.c) Find the probability that 8 offer such courses.d) Find the mean and deviation of the given distribution

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Question 5People visiting video rental stores often rent more than one DVD at a time. Theprobability distribution for DVD rentals per customer at Video To Go is given in thefollowing table. There is a five-video limit per customer at this store, so nobody everrents more than five DVDs.a) Complete the Tableb) Determine the Expected value of rentals per customer and its standardDeviation.Shirt# ≤ 2101-33 2134-66 666-99 6Question 6.In a previous year, the weights of the members of the San Francisco 49ers and the Dallas Cowboyswere published in the San Jose Mercury News. The factual data were compiled into the followingtable.211-25051812Height (cm) 10-11Frequency4251-290072212-1312> 290045For the following, suppose that you randomly select one player from the 49ers or Cowboys.a. Find the probability that his shirt number is from 1 to 33.b. Find the probability that he weighs at most 210 pounds.c. Find the probability that his shirt number is from 1 to 33 AND he weighs at most 210 pounds.d. Find the probability that his shirt number is from 1 to 33 OR he weighs at most 210 pounds.e. Find the probability that his shirt number is from 1 to 33 GIVEN that he weighs at most 210pounds.Question 7.The table shown below is the height of plants observed in an experiment done by theepidemiologist14-1542X0123416-173418-1923P(x)0.030.500.240.075 0.041. Calculate the mean and standard deviation of the height.2. Given Skewness= -0.6 and Kurtosis = 1.2. Interpret these two values. Practice Questions.Question 1Suppose that the duration of a particular type of criminal trial is known to be normally distributed with amean of 21 days and a standard deviation of seven days.a. Fill in the blanks. X~b. If one of the trials is randomly chosen,i) Find the probability that it lasted at least 24 days.ii) Find the probability that it lasted between 20 and 26 days.iii) Find the probability that lasted 27 days.Question 2The average number of times per week that Mrs. Plum's cats wake her up at night because they want toplay is ten. We are interested in the number of times her cats wake her up each week.a) What distribution does X=the number of times her cats wake her up each week represent?b) Find the probability that her cats will wake her up no more than five times next week.c) Find the probability that her cats will wake up four times next week.d) Find the mean and deviation of the given distributionQuestion 3It has been estimated that only about 30% of California residents have adequate earthquake supplies.Suppose we are interested in the number of California residents we must survey until we find a residentwho does not have adequate earthquake supplies.a) What distribution does the random variable in the problem follow?b) What is the probability that we must survey just one or two residents until we find a Californiaresident who does not have adequate earthquake supplies?c) What is the probability that we must survey at least three California residents until we find aCalifornia resident who does not have adequate earthquake supplies?Question 4More than 96 percent of the very largest colleges and universities (more than 15,000 total enrollments)have some online offerings. Suppose you randomly pick 13 such institutions. We are interested in thenumber that offer distance learning courses.a) Define the random variable Xb) Find the probability that at most ten offer such courses.c) Find the probability that 8 offer such courses.d) Find the mean and deviation of the given distribution

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