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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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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ll 36 l 12% 7 15:04 4G .. Question One: (a) If 4 balanced coins are tossed simultaneously (or 1 balanced coin is tossed 4 times), compute the entire probability distribution and plot it. (b) Compute and plot the probability distribution for a sample of 5 items taken at random from a production process known to produce 30% defective items.
Suppose we are interested in the relationship between an individual's brown hair and skin color. Based on a random sample of LIU students, we have the following joint probability distribution given by: X-degree of brown hair color 2 3 4 0.12 0.01 0.05 0.07 0.07 0.12 0.09 0.16 Y- degree of skin color 2 0.12 3 0.16 | 0.03 The probability that an individual with degree of brown hair 2 has a degree of skin color 1 is: None of these 0.263 0.167 0.3
Chapters: Normal and Exponential random variables Q: Suppose that scores on an exam are normally distributed with mean 80 and standard deviation 5. a. What is the probability that a student scores higher than 85 percent on the exam? b. Assume that exam scores are independent and that 10 students take the exam. What is the probability that 4 or more students score 85 percent or higher on the exam.
(CO 3) Consider the following table: Age Group 18-29 30-39 40-49 50-59 60-69 70 and over If you created the probability distribution for these data, what would be the probability of 50-59? 0.152 0.189 0.425 Frequency 983 784 686 632 541 527 0.165
Consider the following probability distribution function of X and Y: 1 2 0.35 0.05 Y 1 0.15 0.45 Find the variance of X and the variance of Y.
Equipment Breakdowns. A factory manager collected data on the number of equipment breakdowns per day. From those data, she derived the probability distribution shown in the following table, where W denotes the number of breakdowns on a given day. w 0 1 2 P(W = w) 0.80 0.15 0.05 a. Determine µW and σW . Round your answer for the standard deviation to three decimal places.b. On average, how many breakdowns occur per day?c. About how many breakdowns are expected during a 1-year period, assuming 250 work days per year?
When conducting research on allergic reactions to a new drug, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who develop an allergic reaction. x P(x) 0 0.665 1 0.278 2 0.052 3 0.004 4 0.001 5 0.000 a. Find its mean and standard deviation. (Round to one decimal place as needed) b. What is the probability of at least 3 males developing an allergic reaction? (Round to three decimal places as needed)
A customer service center is tracking number of complaints in each week. Let X be the number of complaints in each week. The probability distribution of X is summarized as below. X 0 1 2 3 Probability 0.4 ? 0.15 0.05 Can we be certain that the standard deviation of X is less than 3?
Answer 1&2 plz
Megan has purchased the insurance policy from an insurance company to cover the value of hers new car in case if it gets totaled for the price of $1500 per year. Megan's car worth $20000 and the probability of her totaling the car during the length of the policy is estimated to be 0.4%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) car is totaled car is not totaled 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
Rem. A concerned parents group determined the number of commercials shown in each of the five children's programs over a period of time. Num of Commercials P(X = x 1.824 0.078 2.081 0.05 2.338 0.101 2.595 0.134 2.852 0.07 3.109 0.567 Consider the probability distribution table above. Determine the following: (a) Determine the mean = (b) Determine the Standard Deviation
A fitness center bought a new exercisemachine called the Mountain Climber. Theydecided to keep track of how many people used themachine over a 3-hour period. Find the mean, variance,and standard deviation for the probability distribution.Here X is the number of people who usedthe machine. X 0 1 2 3 4 P(X) 0.1 0.2 0.4 0.2 0.1

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