SOLUTION: Please help me solve this question, Assume the mean annual consumption of peanuts is normally distributed, with a mean of 4.8 pounds per person and a standard deviation of 1.6 po

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Question 857903: Please help me solve this question,
Assume the mean annual consumption of peanuts is normally distributed, with a mean of 4.8 pounds per person and a standard deviation of 1.6 pounds per person.
1. What percent of people annually consume less than 3.5 pounds of peanuts per person?
2.Would it be unusual for a person to consume less than 3.5 pounds of peanuts in a year? Explain.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Assume the mean annual consumption of peanuts is normally distributed, with a mean of 4.8 pounds per person and a standard deviation of 1.6 pounds per person.
1. What percent of people annually consume less than 3.5 pounds of peanuts per person?
z(3.5) = (3.5-4.8)/1.6 = -0.8125
P(x < 3.5) = P(z < -0.8125) = normalcdf(-100,-0.8125) = 20.83%
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2.Would it be unusual for a person to consume less than 3.5 pounds of peanuts in a year? Explain.
Ans: No because 3.5 lbs is less than one standard deviation below the mean.
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Cheers,
Stan H.