From the given probability distribution, obtain CDF of X *
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Q: 0. x < 2 1 25x <3 15 3<x < 4 (b) F(x) = 6. %3D 4sx<5 15 , 55x<6 1 , x26 15 2/3
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Q: 4 f(x) = OTHERWİSE 0, -12112
A: EX=∫-20x.fxdx+∫02x.fxdx=∫-20x12+x4dx+∫02x12-x4dx=∫-20x2+x24dx+∫02x2-x24dx=12∫-20xdx+14∫-20x2dx+12∫02…
Q: x < 2 1 2<x<3 4. 15 , 33x<4 (b) F(x) = 6. %3D 4sx<5 15 , 55x<6 53x<6 1 x26 2/3
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- Suppose (S, P) is a binomial distribution with n trials and probability of success p. Let X be the random variable X(k) = k³, where k is the number of successes. Calculate E[X].As determined from long experience, the number of automobiles rented per hour, X, at the Rent-A Car counter at Honolulu International Airport has the following probability distribution. Automobiles Rented Probability 0 .10 1 .25 2 .45 3 “a” 4 .05 Find the probability of renting between 2 and 4 automobiles (including 2 and 4).In which probability distribution would a random variable XX have E(X)=λE(X)=λ?
- let x be a discrete random variable with probability function p(x)= cx/20 for x = 2,3,4,5,6,8,12 what is the value of c that makes p(x) a valid probability function?According to a study by Weight Loss R US of their live-in weight loss program, the people who follow his program lose between 6 and 14 pounds a month until they approach trim body weight. Let's suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. Suppose it is known that the individual lost more than ten pounds in a month. Find the probability that he lost less than 10 pounds in the month. (round your answers to 4 decimals.)Q2. If the lifetime X of a hearing aid battery has Weibull distribution with a = 0.1,B = 0.5. Find the probability that such a battery a) Find varince
- Let X be a binomial random variable with mean u = 2.2 and variance o2 = 1.76, find a) Write the probability distribution function. b) P(x<2) c) If Y = 0.5 X - 0.4, find the mean and variance of the new random variable Y.Let X be the time (in minutes) it takes Mr. Sheikh to drive from his home to his office. Suppose X has a uniform distribution on [25, 40]. If he leaves his home every day at 8:25 am and has to be in by 9:00 am, what is the probability that he will be late for work?The cumulative distribution function for a random variable X is given by: (1-e for x20 F(x)=- otherwise Compute P (X >2). Select one: a. e4 O b. e-4 О с. -2 С. e O d. 2