The Hiking Club is on a hike down a cliff. They are currently at an elevation of 37 feet and descend at the rate of 3 feet per minute. They need to get to base camp before nightfall. Help them figure out the latest that they can begin their descent and still get to base camp before nightfall by determining how long it will take them to get to 10 feet, where the base camp is.

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?