# Question: A manufacturer fills one gallon cans 3 785 ml on an assembly

A manufacturer fills one-gallon cans (3,785 ml) on an assembly line in two independent steps. First, a high-volume spigot injects most of the paint rapidly. Next, a more precise but slower spigot tops off the can. The ll amount in each step is a normally distributed random variable. For step one, μ1 = 3,420 ml and σ2 = 10 ml, while for step two μ2 = 390 ml and σ2 = 2 ml. Find the mean and standard deviation of the total fill X1 + X2.

**View Solution:**## Answer to relevant Questions

A manufacturing project has five independent phases whose completion must be sequential. The time to complete each phase is a random variable. The mean and standard deviation of the time for each phase are shown below. (a) ...(a) In the previous exercise, suggest the approximate probability of success in each scenario. (b) Is success a desirable or undesirable thing in each of these scenarios? (a) Guessing on a true-false exam question; (b) ...On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she has assigned the following probability distribution to the number of tubes she will rent on a ...There is a 70 percent chance that an airline passenger will check bags. In the next 16 passengers that check in for their fight at Denver International Airport, find the probability that (a) All will check bags; (b) Fewer ...Calculate each Poisson probability: a. More than 10 arrivals with λ = 8.0. b. No more than 5 arrivals with λ = 4.0. c. At least 2 arrivals with λ = 5.0Post your question