The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X percent of fat calories. (a) Find the z-score corresponding to 31 percent of fat calories, rounded to 3 decimal places. (b) Find the probability that the percent of fat calories a person consumes is more than 31. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z- score. Use your z-score from part (a), rounded to one decimal place). Shade: Left of a value v. Click and drag the arrows to adjust the values.

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• Question 15
The percent of fat calories that a person in America consumes each day is normally distributed with
a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen.
Let X = percent of fat calories.
(a) Find the z-Score corresponding to 31 percent of fat calories, rounded to 3 decimal places.
(b) Find the probability that the percent of fat calories a person consumes is more than 31.
(c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z-
score. Use your z-score from part (a), rounded to one decimal place).
Shade: Left of a value
v, Click and drag the arrows to adjust the values.
2
4.
-4
-3
-2
Transcribed Image Text:Skip/15 • Question 15 The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X = percent of fat calories. (a) Find the z-Score corresponding to 31 percent of fat calories, rounded to 3 decimal places. (b) Find the probability that the percent of fat calories a person consumes is more than 31. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z- score. Use your z-score from part (a), rounded to one decimal place). Shade: Left of a value v, Click and drag the arrows to adjust the values. 2 4. -4 -3 -2
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