The growth rates of some plant follow a normal distribution with a mean height of 8.3 inches and a standard deviation of 5.4 inches. What is the probability that a plant selected at random would be between 13 and 17 inches?

An arc subtends a central angle measuring 7pi/4 radians what fraction of the circumference is this arc?

Consider the set of all four-digit positive integers less than 2000 whose digits have a sum of 24. what is the median of this set of integers?

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?