A refrigerated delivery truck has a load of perishable goods worth $10,000. If the refrigeration unit is not cold enough, the food may spoil. The cost of the spoiled food will evenly vary from no cost up to the full value of the goods in the truck.
a) What is the probability density function for the cost of the damaged food?
b) What is the expected cost of the damaged food?
c) What is the standard deviation of the cost of the damaged food?
d) What is the probability that the cost of the damaged food is no more than $1500?
e) Given that the cost of the damaged food is at least $1000, what is the probability that it is under $6500?