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- a continuous random variable with probability density function given v f(x): de-/100 0. What is the probability that • (a) a computer will function between 50 and 150 hours before breaking down? (b) it will function for fewer than 100 hours?Marginal distribution of x,that is fX(x)COMPUTE RANGE * From the 50 scores below, 48 56 53 60 43 65 62 72 38 66 32 37 60 49 56 62 73 63 52 52 38 42 56 71 48 59 42 55 66 63 70 35 39 67 32 48 37 38 39 73 63 50 48 50 44 50 52 43 42 70 50 41 32 73
- Plzzz explainThe total number of hours, in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is a random variable X having the density function shown to the right. Find the variance of X (x-8). f(x)2-(X-8). 9sx< 10, 89. The random variable X has probability density function, f(x) where k 1Q3/ consider a random variable X with density function 0.125(4 + 2x) 1< x < 2 f (x) = elsewhere Find the variance for g(X) = 4X +3The joint continuous distribution of random variables X and Y is given by f X,Y(x,y) = l2exp[-lx] for 0 < y < x < ∞ for some parameter l >0. = l2exp[-lx] * I[ 0 < y < x < ∞ ] Are X and Y independent? Explain. Identify the marginal distributions of X and Y by type and parameter values. (No conditioning-just state type of distribution)Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON