Question 5 The amount of syrup that people put on their pancakes is normally distributed with mean 59 mL and
standard deviation 12 mL. Suppose that 7 randomly selected people are observed pouring syrup on their
pancakes. Round all answers to 4 decimal places where possible.
12
a. What is the distribution of X? X - N( 59
b. What is the distribution of I? I - N(59
c. If a single randomly selected individual is observed, find the probability that this person consumes is
between 65.8 ml and 72.4 mL.
d. For the group of 7 pancake eaters, find the probability that the average amount of syrup is between
65.8 mL and 72.4 mL.
e. For part d), is the assumption that the distribution is normal necessary? O No Yes
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