Question

One environmental group did a study of recycling habits in a California community. It found that 73% of the aluminum cans sold in the area were recycled. (Use the normal approximation. Round your answers to four decimal places.)

(a) If 390 cans are sold today, what is the probability that 300 or more will be recycled?
(b) Of the 390 cans sold, what is the probability that between 260 and 300 will be recycled?

Answer 1

a. The proportion of aluminum cans sold in the area were recycled given as p=0.73

Let X be the number of cans recycled out of n=390.

Therefore,

The probability that 300 or more will be recycled is given by:

     ### By using continuity correction, we subtract 0.5 from 300.

### By using z table:

b) The probability that between 260 and 300 will be recycled given by:

     ## By using continuity correction.

    ### By using z table