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Find (a) the mean of the distribution, (b) the standard deviation of the distribution, and (c) the probability that the random variable is between the mean and 1 standard deviation above the mean.
3. The length of time (in years) until a particular radioactive particle decays is a random variable t with probability density function defined by
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Finite Mathematics and Calculus with Applications (10th Edition)
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- Find the conditional expectation E(Y/X=0.47) if the joint probability density function of the random variable X and Y isf(x, y) = 1/x, 0 < y ≤ x ≤ 1.arrow_forwardSuppose that the unknown X is ≥ 2 and has the probability density function fX(x)=Ce^−x,x ≥ 2.What is the numerical value of C?arrow_forwardAssume that the range of X is [4.9, 5.11 mA, and assume that the probability density function of X is f(x) = 5 for 4.9 <= x <= 5.1. What is the variance?arrow_forward
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