4. {15 pts} The distance between major cracks in a highway follows an exponential distribution with a mean of 2_miles. a. (2 pts} What is the probability that there are no major cracks in a l-mile stretch of the highway? b. (3 pts] What is the probability that there are two major cracks in a lit-mile stretch of the highway? c. (2 pts} What is the standard deviation of the distance between major cracks? d. (3 pts] What is the probability that the rst major crack occurs between 10 and 15 miles of the start of inspection? e. (3 pts] What is the probability that there are no major cracks in two separate 5- mile stretches of the highway? f. (2 pts] Given that there are no cracks in the first 5 miles inspected. what is the probability that there are no major cracks in the next 1D miles inspected? 5. (10 pts) The time it takes a cell to divide (called mitosis) is normally distributed with an average time of one hour and a standard deviation of 5 minutes. a. (2 pts} What is the probability that a cell diyides in less than 45 minutes? I}. (3 pts} What is the probability that it takes a cell more than 65 minutes to divide? c. (5 pts) 1What is the time that it takes approximately 99% of all cells to complete mitosis