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=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).

M Inbox (1,660) - KWE x Course Hero Numerade X Q Lumen OHM X M Video X G google calculator x Normal Distributic X + X > C G A ohm.lumenlearning.com/assess2/?cid=59022&aid=4292239#/skip/14 F. (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. -4 -3 -2 -1 0 2 3 -1.5 X (d) MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the MENSA organization. (e) Sketch the graph, and write the probability statement. Edit " Insert Formats . B / U X X A A 9 M 2:53