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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Explain how you can find the missing fraction in 3 4/5 / (blank) 2 5/7. then find the missing fraction.

Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)