Question

In: Statistics and Probability

Sam transports bags of concrete to construction sites. Until he has enough money to buy his...

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?

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