Instructions: • Write the GIVEN with their respective symbols and units. • Do not skip the SOLUTIONS, do it step-by-step with their respective symbols and units Problem: The probability of John's winning whenever he plays a certain game is 1/3. If he plays 4 times, what is the probability that he wins exactly two times. a. 0.2963 b. 0.2936 c. 0.2369 d 0.2693

Q: Two shopkeepers run their business at Nagoya. Shop K sells fish soup, and Shop N sells Sushi. They…

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Q: A game is played using one die. If the die is rolled and shows 6, the player wins $10. If the die…

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Q: The likelihoods of any two events are equa Sample Space When a object can be selected multiple […

A: The objective is to match the following definitions to the correct terms.

Q: A sample of 19 joint specimens of a particular type gave a sample mean proportional limit stress of…

A: Given that

Q: S The profit made by 130 firms in a year are as follows. Find the arithmetic mena Profits (*000) Rs:…

A: Given that  Frequency distribution table  Profit  Number of firms  1-2 5 2-3 27 3-4 36…

Q: At a college, 24% of all students are taking a course in solar design, 38% are taking a course in…

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Q: Find E(Y)

A: For the given table E(y ) =?

Q: We have the following value pairs: { (X,Y) } = { (1, 10), (2, 12), (1/3, 2) }. We know that the…

A: Given that { X,Y } = { (1, 10), (2, 12), (1/3, 2) } Y = A + B/X

Q: What are fixed and chain base index numbers.

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Q: The joint pmf of X and Y are given in the table below: Y X 2 4 27 15 6 15 1 15 3 15 3 15

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Q: An oil company is considering two sites on which to drill. The sites are described in the following…

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Q: Test the hypothesis that the average content of containers of a particular lubricant is 10 liters if…

A: Given: n = 10 Data: 10.2,9.7,10.1,10.3,10.1,9.8,9.9,10.4,10.5,9.8 α = 0.01

Q: Use the following letters J,O,L,L,Y to explain the difference between "permutations" and…

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Q: Example 16. Mr X saved Rs. 18500 in 10 years. In each year after the first he saved Rs. 200 more…

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Q: Suppose a special type of small data processing firm is so specialized that some have difficulty…

A: Property of probability distribution function (pdf) :  ∫yf(y) dy =  1

Q: The internet worm “KLEZ” is the clear leader in the number of top malicious software instances. A…

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Q: (Drawn from Exercise 12.7 from Bodine et al) Mary has just learned her father has been diagnosed…

A: Given that, Mary recently learned that her father had Huntington's chorea, a disease caused by a…

Q: Skyler buys a bag of cookies that contains 8 chocolate chip cookies, 5 peanut butter cookies, 8…

A: Given that. Total cookies=8+5+8+9=30 Chocolate chip cookies=8 Peanut butter cookies=5 Sugar…

Q: V. Distributive Laws : If A, B and C are any three sets, then (1) AU (Bn C) = (A U B) n(AUC)

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Q: 5. Show that for a discrete uniform random variable X, if each of the values in the range of X is…

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Q: How many students passed all three exams?

A: here from given information define events and draw venn diagram  student fail in math(algebra) = M…

Q: 3. Below is the preference schedule for an election where the winner is determined by single runoff.…

A: Voters and choices given We have to calculate winner by using runoff method.

Q: A simple binary communication channel carries messages by using two signals 0 and 1. It was assumed…

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Q: Q. 28 In what respects the whole sale price index differs from the general price index ?

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Q: Based from the record, the mean weight of the newborn babies is 4.8 lbs with a standard deviation of…

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Q: The joint pmf of X and Y are given in the table below: Y X 2 4 2 1 15 15 3 15 3 15 15 23

A: Here we have to find the expectation of E(x) from given joint pmf table 3/

Q: (0.002 e-0.002 t,t 20 10, Example - 2: Consider the pdf f (t) = with t in hours. other wise i)…

A: i) Reliability function, R(t): Rt=∫t∞ftdt      =∫t∞0.002e-0.002tdt     =0.002e-0.002t-0.002t∞…

Q: 1. Some article studied the probability of death due to burn injuries. The identified risk factors…

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Q: Example 22. A piece of equipment cost a certain factory Rs. 6,00,000. If it depreciates in value,…

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Q: geneous Poisson process. The rate at which visitors arrive decreases linearly from 3 n to 5 per hour…

A: *Answer:

Q: 5. For each of the following, determine the constant k so that (x)satisfies the conditions of being…

A: (a) Determine the value of k. The value of k is obtained below as follows: From the information,…

Q: A coin is tossed 3 times. What is the total number of all possible outcomes if there is exactly two…

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Q: The leading brand of powdered milk in the Philippines has a market share of 45%. A sample of 14…

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Q: The calculations for a factorial experiment involving four levels of factor A, three levels of…

A: For the given data Fill all the required blanks

Q: 0.95 C 0.95 0.4 0.05 0.05 0.9 0.9 0.6 a) Draw a tree diagram for the given two stage binary…

A: Given: The channel is as below

Q: 5. Find the median for the following distribution. Income above Rs 1000 1500 2000 2500 3000 3500…

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Q: Let X,Y, Z be random variables each having a mean µ and variance o². rurther, let Cov(X,Y) = 2,…

A: In question, Given that X, Y, Z are three random variables with mean mu and variance sigma^2. And,…

Q: (v) Matiz and Palio and not chevlot (vi) Only one of the car

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Q: The line of best fit through a set of data is y = - 42.824 – 3.033x According to this equation, what…

A: Solution-: We have following regression equation  Y^=-42.824-3.033*X We want to find the predicted…

Q: Example 7. In a random selection of 64 of 600 road crossing in a town, the mean number of automobile…

A: We have given that Sample size (n) = 64Sample mean (x̅) = 4.2Standard deviations (s) =…

Q: For questions 8 to 10: The following are the scores of the random students who took the Math…

A: We have given that,  The data set are :-…

Q: 5. From the following details fit a straight line trend. Year: 1989 1994 1995 1990 1991 1992 1993…

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Q: Imagine a man on the grid below. A path is considered to be "valid' if it consists only "go right"…

A: a. From the given information, Given that a man can go either right or up. Observe that a man can go…

Q: A bookstore classifies its books by reader group, type of book, and cost. What is the probability…

A: Given that    <$10 >$10 Child fiction  120 255 Child nonfiction  35 60 Adults fiction…

Q: 5. From the following details fit a straight line trend. Year: 1989 1990 1991 1994 1995 1992 1993…

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Q: 10. Consider an e-mail message being transmitted across a single network link. The e-mail is broken…

A: The following information has been given:  Let p denotes the probability that a transmission is…

Q: Two coins were toss. What is the probability of getting more than one tail?

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Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

A: Given that y = ax +b a = -0.791 b = 27.682 r2 = 0.906304 r = -0.952

Q: Example – 5: Consider an item with reliability function R(t) = (0.2 t+1)2 , t > 0, where the time t…

A: Given Information: Consider the reliability function:     Rt=10.2t+12  , t≥0