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 43 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 43. (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 Click and drag the arrows to adjust the values. -1 -1.5 (d) Find the maximum number for the lower quarter of percent of fat calories. Round your answer to 3 decimal places. (e) Sketch the graph and write the probability statement.

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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 43 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 43.
(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
Click and drag the arrows to adjust the values.
-3
--
3.
-1.5
(d) Find the maximum number for the lower quarter of percent of fat calories. Round your answer
to 3 decimal places.
(e) Sketch the graph and write the probability statement.
2.
Transcribed Image Text: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 43 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 43. (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 Click and drag the arrows to adjust the values. -3 -- 3. -1.5 (d) Find the maximum number for the lower quarter of percent of fat calories. Round your answer to 3 decimal places. (e) Sketch the graph and write the probability statement. 2.
(d) Find the maximum number for the lower quarter of percent of fat calories. Round your answer
to 3 decimal places.
(e) Sketch the graph and write the probability statement.
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Transcribed Image Text:(d) Find the maximum number for the lower quarter of percent of fat calories. Round your answer to 3 decimal places. (e) Sketch the graph and write the probability statement. Edit - Insert - Formats IU X, x <> E E EE E 三 Question Help: DPost to forum E Calculator Submit Question 囲
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