Suppose that X is a random variable with the probability density function given by (2(1-x), 0≤x≤1 otherwise f(x) = {2(1- 0, Find the density function of W = 2X - 1 using method of cumulative distribution function.

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A: I find the the value of cov(X,Y) using r-software.   R-code:- x = c(-2,-1,0,1,2) y = c(4,1,0,1,4)…

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A: Given The null and alternative hypothesis isH0:p≥0.3Ha:p<0.3

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A: Given,two-tailed test ,  α=0.09α2=0.045

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A: Given data is  x 4 5 6 7 8 9 12 f(x) 0.15 0.20 0.16 0.27 c 0.09 0.03

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A: GivenCalifornia license plate has one number followed by three letters followedby three numbers…

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A: Given that  Total number of items (N)=100  In which 5 are defective  the number of defective items…

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A: Given: Two dice are thrown simultaneously.

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A: Given that A box containing 2 Red, 3 Green and 2 Blue Balls. Let R be the event that a ball drawn is…

Q: Use the confidence interval to find the margin of error and the sample mean. (0.196,0.300) The…

A: Given confidence interval is (0.196 , 0.300)Upper limit = 0.300Lower limit =0.196

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A: Given the letters {A, B, C, D, E, F, G}. Using these letters we have to generate 3 digit ot 4 digit…

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A: The provided information is…

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Q: Q4: The following data represent weights for 25 items construct a frequency distribution table: 15,…

A: Solution-: We want to construct a frequency distribution.

Q: (a) Identify Ho and H₂. Choose the correct answer below. Ο Α. Ηο: μ = 40 H₂:μ#40 OC. Ho: μ240.6 Ha:…

A: Given that  Sample size n =30 Sample mean =40.6 Population standard deviation =7.7

Q: The average number of field mice per acre in a 6-acre wheat field is estimated to be 11. (a) Find…

A: We have givenλ = 11X ~ Poisson (λ) => X ~ Poisson (11) Formula: P(X = x ) = e-λλx/x!

Q: Then P(X+Y<3) is

A: here given  joint probability distribution of x and y  f(x,y )= 18(6 - x - y)  ,  0&lt; x&lt;2  ,…

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A: Given,Test statistic(Z)=-1.99α=0.04and the given test is two-tailed test.

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A: Given Information: Proportion p=0.74 Number of trials n=80

Q: Jean puts 12 books on a shelf in random order. Three are by the same author. What is the probability…

A: Given:12 books on a shelf in random order.3 are by the same auther.Find:P( books will be next to…

Q: 2. If X and Y are two random variables, having joint density function 1 -(6-x-y) 0≤x≤ 2, 0≤ y ≤ 4 24…

A: According to our guidelines we can solve only first three sub-parts.  For remaining sub-parts please…

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Q: Use the given statement to represent a claim. Write its complement and state which is Ho and which…

A: Given ,Claim: P&lt;0.69

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Q: Consider the sample space S= {(-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4)}, where each point is assumed…

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Q: Suppose that there is a 1.7% chance a planet will develop life, a 2.8% chance that the life will…

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Q: A binomial experiment consists of 700trials. The probability of success for each trial is 0.6. What…

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Q: The numbers of courses taught per semester by a random sample of university professors are shown in…

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Q: 5- If X and Y are random variables having the joint density function f(x,y) = = (6 - x - y), 0 < x <…

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Q: 1. Use the bisection method with a hand calculator or computer to find the indicated roots of the…

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Q: fore 1918, approximately 60% of the wolves in a region were male, and 40% were female. However,…

A: Solution  Given That, Before 1918, approximately 60% of the wolves in a region were male, and 40%…

Q: 1- The total number of positive integers that can be formed from the digits 1,2,3 and 4 if no digit…

A: here  available digits are 1,2,3,4  positive Integer formed from given digit without repetition

Q: Construct the indicated confidence interval for the population mean μ using the t-distribution.…

A: Givenc=0.95Mean(x)=13.4standard deviation(s)=3.0sample size(n)=8

Q: Find the value of E, the margin of error, for c= 0.95, n = 10 and s= 3.9. ents A. 2.261 0 OB. 2.79…

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Q: A coin is flipped 30 times. What is the probability of getting 15 or more heads? Round answer to 4…

A: Givensample size(n)=30p=12 =0.5                (i.e., getting head in a toss)Let "x" be getting…

Q: bability is

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Q: hould reject Ho. Explain your reasoning. 73 75 Μα: με 76 77 a) Choose the correct answer below. A.…

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A: Given A coin is tossed and an eight-sided die numbered 1 through 8 is rolled.

Q: SHOW AND EXPLAIN ALL WORK 1.  The  table shows the results of a survey of students in two math…

A: Probability is the measure of statistical analysis. It used to understand the likelihood happening…

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A: Let us consider the time required by a certain student to travel from her home to her morning class…

Q: Determine whether the claim stated below represents the null hypothesis or the alternative…

A: Null hypothesis is denoted by H0.

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A: Given:The given problem is based on confidence interval.The sample size of group A (n1)=100The…

Q: Time spent on a computer is gamma distributed with a = 4 and B = 7. I. What is the probability that…

A: Given that: The time spent on a computer is gamma distributed with α=4 and β=7