Let X be a random variable with a continuous distribution. The cumulative distribution function is 0-1-7 None of these F(x)= Then P(2 < X < 3) = O1/12 1/6 1/4 for x ≤ 1 for x > 1
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A: i) Since, -2<1.8<2 , so F(1.8) follows 0.25x+0.5 P(X < 1.8)=F(1.8)=0.25(1.8)+0.5=0.95
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- Suppose that the random variable X has the continuous uniform distribution 1,0 ≤ x ≤ 1 0, otherwise f(x) = Suppose that a random sample of n = 8 observations is selected from this distribution. What is the approximate probability distribution of X - 7? Find the mean and variance of this quantity. Note: Answer can be input as a fraction. ✓distribution with mean = and variance =Determine the cumulative distribution function for the random variable Xwith the probability mass function fx) = (3/4)(1/4)*. The range of Xis {0, 1, 2, ...}. Give non-integer answers in the form of proper fractions for the cumulative distribution function values listed below. F(0) = F(1) = F(2) = F( + 0) = iA continuous random variable X has probability distribution function f(x) , wheref(x) = k(1 − x2) for − 1 < ? < 1. Calculate the P(X < 0)?
- What is the probability that a randomly selected customer will take more than 3 minutes to check out their groceries? What is P(X>3)? Round to the nearest tenths/first decimal place, 0.xThe cumulative distribution function of a random variable X is (see attached photo): a) What is P(X = 0)? b) What is P(X > 1)?Let X be a discrete random variable with the following cumulative.distribution function 0. x <0 0.2 0Sx<1 15x<3 3Suppose that the random variableX has the continuous uniform distribution ( 1,0 < x < 1 0, otherwise Suppose that a random sample of n = 15 observations is selected from this distribution. What is the approximate probability distribution of X-4? Find the mean and variance of this quantity. Note: Answer can be input as a fraction. f(x) = V distribution with mean = and variance =q12Let X = b(n, and E(3x) = E(3-5x) find n.Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON