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A chocolate manufacturer produces boxes of chocolates whose weights, X, follow a normal distribution with mean = 16.2 ounces and standard deviation = 0.1 ounces.

A chocolate manufacturer produces boxes of chocolates whose weights, X, follow a normal distribution with mean = 16.2 ounces and standard deviation = 0.1 ounces.

  1. (a)Find the probability that a randomly selected box contains less than 16 ounces of chocolate.
  2. (b)Suppose the lightest 38.21% of boxes are sent to discount retailers. To be sent to a discounter, what is the most a box of chocolates can weigh?
  3. (c)What is the interquartile range (IQR) of the weights?

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