Question: Physical Sciences Carlinville, Illinois, has just started an ambitious recycling program. Special trucks collect recyclable products once a week, sorted into barrels of paper, glass, and plastic. The amount of glass recycled per week by a single household is normally distributed with mean μ = 27 pounds and standard deviation s 5 7 pounds. Suppose 12 households are randomly selected.
a. What is the probability that the total glass collected for the 12 homes, T, will be less than 350 pounds?
b. Find a value g such that P(T ≥ g) 5 0.05.
c. If the total glass collected for the 12 homes is more than 400 pounds, the recycling plant will make a profit. Find a value of m such that the probability of making a profit is 0.10.