For the probability distribution, find b. P(y> 2) c. F(y= 6) d. P(y = 6) e. f(y = 4) f. f(y= 6) g. F(y = 5.5) h. F(4) f. Mean of X

A tortoise and hare are competing in a 400-meter race. The arrogant hare gives the tortoise a 220-meter head start. When the start gun is fired, the hare begins running at a constant speed of 3.5 meters per second and the tortoise begins crawling at constant speed of 1.5 meters per second. Take out a piece of paper and read the above problem context again. You will prepare your written work and solutions on your own paper and upload it and the end of this question. Complete the problem solving process by: i. reading and re-reading the problem to identify the quantities in the situation; ii. making a drawing to represent the relevant quantities in the situation; iii. and defining the variable t to represent the number of seconds since the start of the race. a. Define a function f to determine the distance of the tortoise from the finish line in terms of the number of seconds, t, since the start of the race. Preview Solve f(t) = 0 and describe what your solution represents. t = Preview…

6. A family wants to build a fence in their backyard for their dogs, Charlie and Linus. The enclosed space needs to be a rectangle with an area of 4000 square meters. One side of the enclosed space will be next to the house, so they only need fencing along three sides of the rectangle. How much fencing will they need to buy to minimize the perimeter of the enclosed space?