1- X and Y are independent random variables and have U(0,1) distribution. Let Z = min{X,Y}. Find E[Z].

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A: Combination formula is  = n! /(n-r)! r!  The permutation formula is nPr = n! /(n-r)!

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A: Given that blue =8 white = 6 black = 4

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Q: a multiple of 2 and a multiple of 5. b a multiple of 2 or a multiple of 5. chosen is 40}. Find the…

A: Followings are the explanation of the question Let Sample space is S = { 1,2,3,4,5,---------40} n(S)…

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Q: he height of the candidate for Police Officer at JayBie Town is normally distributed with a ean 165…

A: Let X be the random variable from normal distribution with mean (μ) = 165 cm and standard deviation…

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Q: c. Find the confidence interval for the population mean with confidence level of 99%

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Q: M&M's, 132 M&M's are blue, 69 are green, 68 are brown,   63 are olive, 62 are teal, 60 are navy, 56…

A: 1023 M&M in a bag Blue 132 Green 69 Olive 63 Brown 68 teal 62 navy 60 Black 56…

Q: Suppose we toss a fair die.  Let A denote the event that we obtain a most 2 spots atop the die and…

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Q: The actual volume of seven oil cans labeled as 12 liters are as follows: 11.77, 11.90, 11.64, 11.84,…

A: We have given that,  The data set are :- 11.77, 11.90, 11.64, 11.84, 12.13, 11.99, 11.77 Then,  We…

Q: A sample of 16 items has an average fat content of 20 grams and a standard deviation of 2 grams.…

A: According to the given information in this question We need to construct 99% confidence interval

Q: 4. Determine the value of C such that the function f(x, y) = cxy for 0 < x < 3 and 0 < y< 3…

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Q: Example 11.3 sample mean was found to be Rs 900 and the standard deviation Rs 200. Construct an…

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Q: The joint PDF of two continuous random variables X and y is given: S(x, v) = e,x> 0, y> 0. Let U =…

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Q: I duration. What is the probability that the duration of a particular rainfall event at this…

A: Given Mean=2.675

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Q: samples there are at least three samples contain the pollutant. Solve both in detailed and…

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Q: 1. Find the mean, median, mode, and range for the following data 6, 7,9, 7, 8, 10, 11, 6, 7, 11, 12,…

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Q: Suppose that X and Y are random variables with the joint density function 1+ x - 5 4 |X<-4).

A: Let X and Y be two continuous random variables defined over the sample space S. Then the continuous…

Q: In a school sports day, each student is required to join at least one event. The following table…

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Q: |Let X1, X2,..., X10 be a random sample from a distribution that is N(01,02). I best test of the…

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Q: XIY 2 4 5 1 1/12 1/24 1/24 2 1/6 1/12 1/8 3 1/4 1/8 1/12 a. Find P(XS2,YS4) b. Find the marginal…

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Q: 24. Two cards are drawn at random from an ordinary deck of 52 playing cards one at a ue war…

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Q: AGE Always Sometimes Never 18-29 53 43 4 30-49 47 45 8 50-64 34 41 24 65+ 23 36 34

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Q: Determine: 1.exactly how many of the vehicles can hold 7 people 2.how many of the vehicles can hold…

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Q: acity of the a bottles, calculates the capacity of each bottle, and ml. The population standard…

A: Given, population mean (µ) = 250 sample mean (x̄)  = 248 population standard deviation (σ) = 5…

Q: The junior class has 50 students. Twenty-five students take French, 15 take Latin, and 10 take both.…

A: The union probability for any two events A and B is defined as P(A or B) = P(A)  + P(B) – P(A and…

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Q: The joint PDF of two continuous random variables X and y is given: S(x, v) = e,x> 0, y> 0. Let U =…

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Q: A farmer must decide whether to take protective action to limit damage to his grapefruit crop in the…

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Q: 2. The number of meteors found by a radar system in any 30-second interval under specified…

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Q: spade. 14. A card is drawn from a standard deck of 52 cards. Find the probability that it is a red…

A: 14)GivenTotal no.of cards in a deck = 52No.of red cards in a deck = 26No.of black cards in a deck =…

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A: Let μ be the population mean. Let the null hypothesis be, H0: μ = μ0 In one-tailed test, the…

Q: Simplify each of the following expression. (8!7!) 5!4! 7. 12! 3!2! 10 8. 4!3! 45! 0. 43!5!

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…