Problem 2 45 The percent of fat calories that a person in America consumes each

Question

Problem 2 45 The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about I deviation of 10 . Suppose that one individual is randomly chosen. Let X = percent of fat calories. and a standard In each appropriate box you are to enter ether a rational number in "p/q" format or a decimal value accurate to the nearest 0.01 a. (25) X~ (pick one) b. (.25) The probability that a person consumes more than 40 percent fat is c. (.25) What is the lowest quartile for percent of fat calorie consumption? d. (25) Write the probabilily statement for part (o: Ppkk ne

Explanation / Answer

SolutionA:

it follows normal distribution with mean 45 and standard deviation=10

X~N(45,10)

Solutionb:

P(X>40)

Z=x-mean/sd

=40-45/10

=-5/10

=-1/2

=-0.5

P(Z>-0.5)

=P(Z<0.5)

=0.6915

=0.69

ANSWER:0.69

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