1- The signs on an elevatorstates “Maximum Capacity 1,140 Kilogram” or 16 persons”. If the mean weight is75 kilos and the standard deviation of the weight is 10 kilos, • Whatis the probability that...

1- 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.

2- 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?

3- 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

4- 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?