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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Answered: Question 5 People visiting video rental…

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.
Central Limit Theorem 2. According to the International Graduation Association, on average, high school girls in Canada spend $\$ 223.55$ on a prom dress with a standard deviation of $\$ 18.14$. If 76 high school girls are surveyed in Canada, what is the probability that the mean cost of their dresses is between $\$ 225.00$ and $\$ 228.00$ ? 3. It has been estimated that $23 \%$ of nurses are offered to work overtime on a regular basis. If we randomly selected 225 nurses, what is the probability that $25 \%$ or less of them will be offered overtime on a regular basis? SP.VS.717
1. Probability help me uhuhuhuh
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
Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
Find the variance for the probability distribution X 4 0 1 2 3 P(X=x) 0.04 0.18 0.34 0.23 0.21 Select one: a. 3.79 b. 1.59 c. 1.26 d. 1.12
Chapter 7: 6. The mean room and board expense per year at a four-year college is $9200. Assume the room and board expenses are normally distributed with a standard deviation of $1200. (6 points each) You randomly select one four-year college. What is the probability that their average room and board is less than $8950? b. You randomly select 50 four-year colleges. What is the probability that the mean average room and board is less than $8950?
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
Body temperature. Suppose the body temperature of healthy individuals is approximately normally distributed with a mean of 37.0°C and a standard deviation of 0.4°C. a. If 130 healthy individuals are randomly selected, what is the probability that the average temperature for these individuals is 36.80°C or lower? b. Would you consider an average temperature of 36.80°C as unlikely to occur if the true average temperature of healthy individuals is 37.0°C?
Susan collects data on three random variables, X, Y, and Z. She plots histograms of her data to help her decide which probability distribution is likely to be most suitable for each of these three random variables. (a) Based on the histogram below, which of the following distributions; Bernoulli; discrete uniform; continuous uniform; normal or exponential distribution is the most likely distribution for the random variable X? Abuanbaug 250 Frequency 200 150 100 (b) Based on the histogram below, which of the following distributions; Bernoulli; discrete uniform; continuous uniform or exponential distribution is the most likely distribution for the random variable Y? 120- 100 Histogram of X 20 Histogram of Y
Of all the students, 44% own an iPhone, with a standard deviation of .03 For that same sample of 400 students, what is the probability that at least 42% of them own an iPhone?
Example 24 : In eight throws of a die 5 or 6 is considered a success. Find the mean number of success and the standard deviation.

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