Choose a point uniformly at random from a rectangle with height 1 and width 3. (This means that the probability of the point landing in any region is the area of the region divided by the area of the entire rectangle.) Let X be the distance from the point to the nearest edge of the rectangle. Required:
a. Find a formula for F(x), the cumulative distribution function of X, when 0 <= x <= 1/2
b. Find a formula for the probability density function f(x) of X for 0 < x < 1/2.

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Step-by-step explanation:

step-by-step explanation:

the first 5 right here the next 5 i will upload as separate question

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.