Apotato sorting machine produces 5 lb bags of potatoes on average, but the standard deviation is 1/2 lb. assuming that the weight of the bags is normally distributed, explain how you would find the weight range that 95% of the bags fall within.

Basically we have to calculate P X < 0.95. By using the normal distribution formula for any random variable we can get our answer.

SO first from z table we will have to check the corresponding z value from the table. After we get that value we can do X - mean / the std dev = that particular value that i am naming A.

SO X - 5 / 0.5 = A. Now we can solve X for our answer.

the answer is two. hope this !