1. The weight of a randomly selected shipping container follows an unknown distribution with mean 12 tons and standard deviation 2 tons. Your cargo ship always carries a load of 100 randomly selected shipping containers.
(a) What is the probability the load weighs more than 1231 tons?
(b) What is the 90th percentile of load weights?
2. Consider the the population [1,3]. Suppose you take all possible samples of size n=3 with replacement. What is the sampling distribution of the sample total?
3. LED light bulbs are manufactured with an average lifespan of 16 years and the bulb lifespans arenknown to follow an exponential distribution.
(a) What is the probability that a bulb will last longer than 14 years?
(b) What is the 50th percentile (or median) of bulb lifespans?