The question below was written without values or a function

****The question below was written without values or a function. I need to know how to set up and solve given whatever values/function. This question is a probability question.

1. A sports car travels from a dead stop to 60 mph within a known limit of time. The time it takes for each run is random based on the function. For each question, include a probability function sketch that represents your solution.

a. What is the probability the car will travel 0-60 sooner than...?

b. What is the probability the car will travel 0-60 later than...?

c. What is the probability the car will travel 0-60 within one second of the mean...?

Solution

a. The probability the car will travel 0-60 sooner than t means P(X<t).

b. The probability the car will travel 0-60 later than t means P(X>t).

c. The probability the car will travel 0-60 within one second of the mean t is P(E(t) -1<X<E(t)+1)