In: Statistics and Probability
Sam transports bags of concrete to construction sites. Until he has enough money to buy his own truck he rents a truck every day from the local U-Haul company. The UHaul company has limited availability of their larger trucks. On any day, there is a 20% chance that Joe can get a large truck a 30% chance that he could get a medium truck and a 50% chance that he'll have to settle for a small truck. With a large truck Joe can transport 1000 lbs of concrete in a day, with a medium truck he can transport 700 lbs in a day and with a small truck only 500 lbs in a day.
a. How much should Joe expect to be able to transport if he has
a job that will last 30 days?
b. What is the standard deviation of the distribution of the amount
of concrete he can transport in a day?