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A study of coffee consumption in a large city found that the price of a standard...

A study of coffee consumption in a large city found that the price of a standard cappuccino varied at cafes across the city according to a normal distribution with a mean of $3.58 and a standard deviation of 20 cents per cup.

  1. (1 mark) What is the probability that a randomly selected cafe in the city charged less than $3.84 per cup? (4dp)

  2. What is the probability that a randomly selected cafe in the city charged more than $3.55 per cup? (4dp)

  3. What is the probability that a randomly selected cafe charged between $3.32 and $3.78 per cup? (4dp)

  4. (1 mark) If a cafe’s price was on the 76th percentile, what was its price per standard cappuccino? (2dp) $

Math   Statistics-And-Probability   
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