X ~ Normal(2, 1.22)
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Let X be a random variable following a continuous uniform distribution from 0 to 10. Find the conditional probability P(X >3 X < 5.5). Chebyshev's theorem states that the probability that a random variable X has a value at most 3 standard deviations away from the mean is at least 8/9. Given that the probability distribution of X is normally distributed with mean ji and variance o”, find the exact value of P(u – 30 < X < u +30).
1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. function Let p> 0, δ > 0. Consider the probability density x>0 zero otherwise. Find the probability distribution of w-x6 a) Determine the probability distribution of W by finding the c.d.f. of W, Fw(w). Find the cd.f. of X, Fx(x) = P(X x). “Hint', 1: u-substitution: u "Hint" 2: There is no such thing as a negative cumulative distribution function "Hint" 3: Should be Fx(0)-0,...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four dec places.) # 39; 0 = 14 P(50 SXS 70) - Need Help? Read 13. 0-M1 points BBUnder Stat12 6.3.013 My Notes Ask You Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four de places.) - 115; 0 = 15 P(x 2 90)...
Answer the following questions: The team A has a winning probability whenever it plays. If the team plays 4 games then find the probability that A wins: (i) Only two games. (ii) At least one game. (iii) More than half of the games. (iv) What is the expected value and the standard deviation of the number of winning? (II) If X is a random variable with a distribution function: (x2+4x+8). F(x) = {322 -CsxsC cis constant. otherwise then find the...
webassign.net 54 Geomet. Watch Pla gm.. Mind Tap-C Home Web Bahance Buy Adobe L Adobe Docu Adote Acco Need Help? 2-ore Cal Desmas G Watch he L O Show My Work (otna O My Notes -/5 points BBUnderStat12 5.4.010. + Ask Your Teache Bob is a recent law school graduate who intends to take the state bar exam. According to the - 1, 2, 3, . represent the number of times a person takes the bar exam until the first...
[25 points] Problem 4 - CDF Inversion Sampling ers coming from the U(0, 1) distribution into In notebook 12, we looked at one method many pieces of statistical software use to turn pseudorandom those with a normal distribution. In this problem we examine another such method. a) Simulating an Exponential i) The exponential distribution has pdf f(x) = le-ix for x > 0. Use the following markdown cell to compute by hand the cdf of the exponential. ii) The cdf...
2. Consider a discrete random variable X with mean u = 4.9 and probability distribution function p(x) given in the table below. Find the values a and b and calculate the variance o p(x) 0.25 5 6 0.35
1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. function Let β > 0, δ > O. Consider the probability density fx(x) = βδΧ6-1 e-Px®, x>0, zero otherwise. Find the probability distribution of W-X" b) Determine the probability distribution of W by finding the p.d.f. of W, fw(w), using the change-of-variable technique D) Find the p.d.f. of W, w)-x(w ii What is the name of the probability distribution of W? What are its parameters?...
U means Uniform distribution 2. Let X be a r.v. distributed as U(α, β). Show that its ch. f. and m.g.f.x and Mr, respectively, are given by and IM x it(β-a) , t(B-a) ii) By differentiating (ax, show that E(X)-(α + β) / 2 and T 2 (X)-(α-β)2 / 12.