63. Braking Distances For a car traveling 65 kilometers per hour (km/h), the distance required to brake to a stop is normally distributed with a mean of 43 meters4 and a standard deviation of 5 meters. Suppose you are traveling 65 km/h in a residential area and a car moves abruptly into your path at a distance of 49 meters.

a. If you apply your brakes, what is the probability that you will brake to a stop within 37 meters or less?

Within 43 meters or less?

b. If the only way to avoid a collision is to brake to a stop, what is the probability that you will avoid the collision?