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The manufacturing process used to make "heart pills" is known to have a standard deviation of 0.1 mg. of active ingredient. Doctors tell us that a patient who takes a pill with over 6 mg. of active ingredient may experience kidney problems. Since you want to protect against this (and most likely lawyers), you are asked to determine the "target" for the mean amount of active ingredient in each pill such that the probability of a pill containing over 6 mg. is 0.0035 ( 0.35% ). You may assume that the amount of active ingredient in a pill is normally distributed.

a. Solve for the target value for the mean. 5.73

b. Draw a picture of the normal distribution you came up with and show the 3 sigma limits.

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