Question

Coffee Bean and Tea Leaf sells lattes for $2.50. Suppose the caffeine content of the latte coffee at Coffee bean & Tea Leaf is normally distributed with mean µ = 120 mg and standard deviation σ = 15 mg.

1. Barbara starts her day by ordering a latte every morning, and and needs as least 100 mg of caffeine in her latte. What is the probability that Barbara gets at least 100 mg of caffeine in her latte?

2. What is the 70 percentile of caffeine content for 16 oz latte at Coffee Bean & Tea Leaf?

3.  After 5 work days, what is the probability that Barbara gets less than 110 mg of caffeine on average? Suppose Barbara only gets caffeine at Coffee Bean & Tea Leaf.

This is for the purposes of checking answers. Thank you.

Answer 1

(a)

(2)

(3)