Answer:
97.9% ; 12.4% ; 771
Step-by-step explanation:
The approximate percentage who have more Than 469 calories :
P(x > 469)
Mean, m = 1060
Standard deviation, s = 291
Z = (x - mean) / standard deviation
Z = (469 - 1060) / 291
Z = −2.030927
P(Z > - 2.031) = 1 - P(Z < - 2.031)
P(Z > - 2.031) = 1 - 0.0211
P(Z > - 2.031) = 0.9788 = 97.9%
b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?
[(1673 - 1060) / 291] - [(1372 - 1060) / 291]
P(Z <2.106) - P(Z < 1.072)
0.9824 - 0.85814
= 0.12426 = 12.4%
c. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal
The Zscore at 16 percentile = -0.994
Zscore = (score - mean) / standard deviation
-0.994 * 291 = score - 1060
−289.254 = score - 1060
Score = −289.254 + 1060
Score = 770.746
Approximately 771
