Question: 1. Let f(x) = kx +3, 3 I. Let IX2, 2. FindE(X). Let f(x) = +1 2 < x < 4. Find the median.- 3.

1. Let f(x) = kx +3, 3

I. Let IX2, 2. FindE(X). Let f(x) = +1 2 < x < 4. Find the median.- 3. 4. An actuary finds that the age of death for individuals in a certain population WRS a continuous random variable, X, with density function Let f(x) = kx+3, 3 < x < 5. Find k so that Rx) is a probability density function. f(x) (100-x)i osxS100. (2) Find the probability that an individual in this population dies before (b) Find P (60SXS80). 5. Suppose an electrical current, X, is uniformly distributed between 110 and 120 volts. (a) Find the probability that the volta is at least 116 volts. (b) What is the expected voltage? tif (c) What is the standard deviation voltage? a. g ? 40.

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