Complete the mcq:
Q1. A rock crushing company has 3 plants, all receiving blasted rock in bulk. The amount of rock that can be crushed by one of the plants in one day can be modeled by an exponential distribution. The mean amount of rocks that can be crushed per day by each plant is 4 tons. Assume plants operate independently of one another. How many tons of blasted rock should be stored at any of the plants per day such that the probability of running out of blasted rocks to crush is 0.05
1.) .2000 tons
2.) 11.98 tons
3.) 4.000 tons
4.) 1.040 tons
Q2. A rock crushing company has 3 plants, all receiving blasted rock in bulk. The amount of rock that can be crushed by one of the plants in one day can be modeled by an exponential distribution. The mean amount of rocks that can be crushed per day by each plant is 4 tons. Assume plants operate independently of one another. What is the probability that two of the plants will crush more than 4 tons on a given day?
1.) 0.74
2.) 0.26
3.) 0.1369
4.) 0.1850