A. z = 0.74 The z-score of 0.74 translates to a percentile of 0.77035. Hence, the area under the standard normal curve to the left of z-score 0.74 is ~0.77.
b. z = -2.16 This z-score translates to a percentile of 0.015386 which is also the numerical value of the area under the curve to the left of the z-score
c. z = 1.02 The percentile equivalent of the z-score above is 0.846. The area is also 0.846.
d. z = -0.15 The percentile equivalent and the area is equal to 0.44.
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5/1 cakes shared by 6/1 people. To divide, we can freeze flip and multiply the fractions to get to 5/1 * 1/6 = 5/6 cakes per person. Let me know if this helps.