The percent of fat calories that a person in America consume

The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 40 and a standard deviation of 10 . Suppose that one individual is randomly chosen. Let X= percent of fat calories. In each appropriate box you are to enter either a rational number in \"p/q\" format or a decimal value accurate to the nearest 0.01 .

The probability that more than 40% of the calories a person consumes are fat is

The lowest quartile for percentage of fat calorie consumption is given by percentage of fat consumed

Write the probability statement for part (c): P(X

Solution

X~Normal(40,10²)

The probability that more than 40% of the calories a person consumes are fat is=P(X>40)=0.5(Since for a normal distribution,mean=median and it divides the total area into two equal parts)