Q1. The signs on an elevator states "Maximum Capacity 1,140 Kilogram" or 16 persons". If the mean weight is 75 kilos and the standard deviation of the weight is 10 kilos, What is the probability that a sample of 16 persons would weigh more than 1140 kilos.
Q2. A factory's worker productivity is normally distributed. One worker (worker 1) pro- duces an average of 75 units per day with a standard deviation of 20. Another worker (worker 2) produces at an average rate of 65 per day with a standard deviation of 21. What is the probability that during one week (5 working days) worker 1 will produce more than worker 2?
Q3. The long-distance calls made by the employees ofa company are normally distributed with a mean of6.3 minutes and a standard deviation of 2.2 minutes. How long do the longest 10% of calls last
Q4. A certain type of tomato seed germinates 90% of the time. A backyard farmer planted 25 seeds.
a. What is the probability that exactly 20 germinate?
b. What is the probability that 20 or more germinate?