Question
Asked Mar 19, 2020
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One environmental group did a study of recycling habits in a California community. It found that 75% of the aluminum cans sold in the area were recycled. (Use the normal approximation. Round your answers to four decimal places.)

(a) If 389 cans are sold today, what is the probability that 300 or more will be recycled?
 

(b) Of the 389 cans sold, what is the probability that between 260 and 300 will be recycled
 
Please help- I have been working on this for two days!
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Expert Answer

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Step 1

(a)

The mean is,

Statistics homework question answer, step 1, image 1

Thus, the mean is 291.75.

Standard deviation:

Statistics homework question answer, step 1, image 2

Thus, the standard deviation is 8.54.

Step 2

Using correction for continuity error, the probability that 300 or more will be recycled is,

Statistics homework question answer, step 2, image 1

Thus, the probability that 300 or more will be recycled is 0.1822.

...

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