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:

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead