In the United States, males between the ages of 40 and 49 eat on average 103.1 g of fat every day with a standard deviation of 4.32 g. Assume that the amount of fat a person eats is normally distributed. Round the probabilities to four decimal places. It is possible with rounding for a probability to be 0.0000. a) State the random variable.            b) Find the probability that a randomly selected male in the US between the ages of 40 and 49 has a fat consumption of 91.64 g or grams or more.      c) Find the probability that a randomly selected male in the US between the ages of 40 and 49 has a fat consumption of 100.44 g or grams or less.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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In the United States, males between the ages of 40 and 49 eat on average 103.1 g of fat every day with a standard deviation of 4.32 g. Assume that the amount of fat a person eats is normally distributed.

Round the probabilities to four decimal places.

It is possible with rounding for a probability to be 0.0000.

a) State the random variable.

          

b) Find the probability that a randomly selected male in the US between the ages of 40 and 49 has a fat consumption of 91.64 g or grams or more.

    

c) Find the probability that a randomly selected male in the US between the ages of 40 and 49 has a fat consumption of 100.44 g or grams or less.

    

d) Find the probability that a randomly selected male in the US between the ages of 40 and 49 has a fat consumption between 91.64 and 100.44 g or grams.

    

e) Find the probability that randomly selected male in the US between the ages of 40 and 49 has a fat consumption that is at least 118.22 g or grams.

    

f) Is a fat consumption of 118.22 g or grams unusually high for a randomly selected male in the US between the ages of 40 and 49?

    Why or why not?

             

g) What fat consumption do 45% of all males in the US between the ages of 40 and 49 have less than?

    Round your answer to two decimal places in the first box.

    Put the correct units in the second box.

      

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