Todd Holland from New York grows pumpkins. He studied his past records carefully and concluded that the weights of his biggest pumpkins are distributed according to a normal distribution with a mean of 950 lbs and a standard deviation of 50 lbs.
(a) What is the probability for Todd to get his biggest pumpkin weighing more than 1000 lbs?
(b) What is the probability for Todd to get his biggest pumpkin weighing less than 840 lbs?
(c) What is the probability for Todd to get his biggest pumpkin weighing between 900 and 1000 lbs?
(d) Todd wants to get into the prestigious 1100 Club (it really exists!), which has members who have grown pumpkins weighing more than 1100 lbs. What is the probability that Todd will get into the club this year?
(e) Todd wants to build a fancy table to show o his biggest pumpkin this year. How much weight should the table be able to support so that there is 99% chance that the table will not break when he puts his biggest pumpkin on the table?