The "Garbage Project" at the University of Arizona reports that the amount of paper discarded by households per week is normally distributed with mean 9.4 lb and standard deviation 4.2 lb. What percentage of households throw out at least 8 lb of paper a week?

Question

Mathematics

Jamarcus Mccarty

26 August, 21:29

The "Garbage Project" at the University of Arizona reports that the amount of paper discarded by households per week is normally distributed with mean 9.4 lb and standard deviation 4.2 lb. What percentage of households throw out at least 8 lb of paper a week?

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Answers (1)

Know the Answer?

Isabel Owens · Answer 1

62.93%

Step-by-step explanation:

We know that mean=9.4 lb and standard deviation=4.2 lb.

We have to find P (x≥8).

P (x≥8) = P ((x-mean) / sd≥ (8-9.4) / 4.2)

P (x≥8) = P (z≥ (-0.3333)

Rounding z score to 0.33

P (x≥8) = P (-0.33
Using normal area table and we get P (-0.33
P (x≥8) = 0.1293+0.5

P (x≥8) = 0.6293

The percentage of households throw out at least 8 lb of paper a week is 62.93%