Example 5. If A, B and C are three sets and U is the universal set such that n(U) = 1000, n(A) = 400, n(B) 500 and n(An B) = 100. Find n(AnB). %3D %3D

Q: Suppose your friend has a lottery ticket that presents the following gamble: Win $91 with a…

A: From the given information, Win $91 with a probability p Lose $10 with a probability 1-p Also assume…

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Q: 6. The following table summarizes 186 endothermic reactions involving sodium bicarbonate. Heat…

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Q: 14. Here are data describing the air pollution rate (in pp) in a western city. Year: 1980 1985 1990…

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Q: • If a pair of dice is tossed. What is the probability that a. the sum is either 7 or 11? b. the sum…

A: Given that  A pair of dice is tossed  Sample space=S S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1)…

Q: Probability of Compound Events. In a class of 30 students, 15 are history buffs and 21 are math…

A: Given: There are 30 students  15 are history buffs 21 are math greeks They all like at least one of…

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Q: 15. Fit a straight line trend by the method of least squares. Year: 1987 1988 1989 1990 1991 1992…

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

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Q: n an experiment where 2 balls are drawn successively at random without replacement from a box…

A: The total number of balls is 2+3+2 =7

Q: You have 3 science books, 2 language books, and 4 philosophy books. In how many ways can they be…

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Q: 10. On a typical keyboard, there are 26 small cap letters, 26 uppercase letters, 10 decimal digits,…

A: It is asked to solve question no. 10 only. So, we will solve only that for you.

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

A: In question, We have joint probability mass function of X and Y. Then we'll find, E(X^2) = ? The…

Q: A store gathers some demographic information from their customers. The following chart summarizes…

A: For the given table Find the required probabilities

Q: Two cards are drawn from a shuffled deck of cards. Make a probability distribution table where rande…

A: From the given information, 2 cards are drawn from the deck of cards. In the 52 deck of cards, there…

Q: In an experiment, A,B,C, and D are events with probabilities P[A]= 2/8, P[B]= 3/24, P[C]=15/24, and…

A: Given, C & D are independent Than we have to tell that given events are independent or not…

Q: Show that the natural numbers and the rational numbers have the same cardinality.

A: Let integers Z are countable, we might wonder whether other infinite sets are also countable. We…

Q: The probability the container will be shipped is (Round to the nearest thousandth as needed.)

A: Solution

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

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Q: Two fair dice are thrown. Find the probability that the product is a perfect square?

A: Two fair dice are thrown. Find the probability that the product is a perfect square?

Q: The joint PDF of X and Y is given as 0<x<y<1 (2, f(x, y) = Q. otherwise

A: Given: f(x,y)=20≤x≤y≤10otherwise

Q: If a potential customer is exposed to 4 promotions in a given month, what is the probability that…

A: here given ,     the number of promotions to which a customer has been exposed.  The  dependent…

Q: For numbers 28-30: Let X, Y, Z be random variables each having a mean u and variance o?. Further,…

A: In question, We have given three random variables X, Y, Z with mean mu and variance sigma^2. And…

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: Example 11. Insert A.M.s between 7 and 71 in such a way that the 5th A.M. is 27. Find the number of…

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Q: 18. Fit a straight line trend for the following data. 1997 1996 1998 1999 2000 Year: Per capita: 25…

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Q: Bianca has two coins. Coin A is a biased coin that comes up HEAD with probability 0.3. Coin B is a…

A: Given information: P(head| coin A)=0.3 P(tail| coin A)=0.7 P(head| coin B)=0.5 P(tail| coin B)=0.5…

Q: A computer room contains 100 PCs. The probability that a PC breaks down in a week is 0.005.…

A: Givensample size(n)=100probability that a PC breaks down in a week(p)=0.005

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

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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: 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: president, a treasurer and a secretary are to be chosen in an organization having 30 members. How…

A: 30 members, President, a treasurer and a secretary are to be selected.  If a certain group of 3…

Q: P(35<x<37)       50 murders surveyed  0.61% of the murders were cleared  The probability that…

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Q: At an airline company, according to the records, the mean age of pilots is 36.2 years, and the…

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Q: 18. Fit a straight line trend for the following data. 1997 1996 1998 1999 2000 Year: Per capita: 25…

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Q: (vii) at least one of the car (viii) none of the car.

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Q: Two cards are drawn from a shuffled deck of cards. Make a probability distribution table where…

A: Given that  There are 52 card in the deck in which they divided into two color i.e red(26) and black…

Q: 25. Are X and Y independent? 26. What is the expected amount of gold a prospector digs in a day? 27.…

A: 25) It is given that X is independent of Y The amount of gold digs and the price of gold are…

Q: SITUATION 4 Consider the following two probability distributions: f (x) 5!(0.99) (0.01)*- æ!(5-a)! х…

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Q: (a) Write down the list of the possible outcomes of the said experiment. (b) Make a probability…

A: here given , A musical CD collection is composed of 3 jazz CDs, 5 classical CDs, and 2 rock CDs.…

Q: A "punishment" game consists of two parts described as follows: • Step 1: Flip three fair coins, and…

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Q: In a group of people everyone rolls a die. What is the smallest number of people that should be in…

A: When some objects are arranged or a rearrangement is made for a number of objects arranged in an…

Q: The proportion of impurities per batch in a chemical product is a random variable X with density…

A: Obtain the mean of the proportion of impurities in a randomly selected batch of chemical.   The…

Q: Find E(X + Y

A: here write marginal distribution of X and Y

Q: 4. What is the probability of rolling a (a sum) of 5, or (a sum) of 6 or doubles? Let A be Let B be…

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

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Q: A company has 10 software engineers and 6 civil engineers. In how many ways can they be seated…

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Q: (a) In testing a certain kind of truck tire over a rugged terrain, it is found out that 25% of the…

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Q: The superintendent of a large school district, having once had a course in probability and…

A: Given that

Q: dom sample of size n = 41. at is the mean of the distribution of sample means? |(Please enter an…

A: Given data,μ=140σ=39.4n=41