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The population of quarters have a mean weight of 5.670 g and a standard deviation of...

  1. The population of quarters have a mean weight of 5.670 g and a standard deviation of 0.062 g. The distribution of the weights is normal.
  1. What is the probability that a randomly selected quarter has a weight less than 5.600 g?
  2. What is the probability that 25 randomly selected quarters have a mean weight less than 5.600 g?
  1. The weight of full term babies is normally distributed with a mean of 7 pounds with a standard deviation of 0.6 pounds.
  1. What is the probability that the weight of a randomly chosen full-term baby is between 6.8 and 7.2 pounds?
  2. What is the probability that the mean weight of 10 randomly chosen full-term babies is between 6.8 and 7.2 pounds?
  3. What is the probability that the mean weight of 100 randomly chosen full-term babies is between 6.8 and 7.2 pounds?

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