The birth weight of newborn babies is normally distributed with a mean of 7.5 lbs and a standard deviation of 1.2 lbs.
a. Find the probability that a randomly selected newborn baby weighs between 5.9 and 8.1 pounds. Round your answer to 4 decimal places.
b. How much would a newborn baby have to weigh to be in the top 6% for birth weight? Round your answer to 1 decimal place.
a)
Let X denote the weight of the newborn (in lbs).
Then
Required probability =
b)
We want find 'x' such that
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