WORKSHEET 8: NORMAL DISTRIBUTION
Name: ________________________________________ Section: ______ Date: _________________________
1.
Given a normal distribution with mean
𝝁 = ??
and
𝝈 = ?
, find
A.
the area below 32.
B.
the area above 27.
C.
the area between 42 and 51.
D.
the x value that has 45% of the area
below it.
E.
the x value that has 13% of the area
above it.

2.
Given the normally distributed variable
𝑿
with mean
𝝁 = ??
and
𝝈 = ?. ?
, find
A.
𝑷(𝑿 < ??)
B.
𝑷(?? < 𝑿 < ??)
C.
the value of
𝒌
such that
𝑷(𝑿 < 𝒌) =
?. ????
D.
the value of
𝒌
such that
𝑷(𝑿 > 𝒌) =
?. ????

3.
A softdrink machine is regulated such that
it discharges an average of 200 milliliters
per cup. If the amount of drink is normally
distributed with a standard deviation
equal to 15 milliliters,
A.
What fraction of the cups will contain
more than 224 milliliters?
B.
What is the probability that a cup
contains between 191 and 209
milliliters?
C.
How many cups will likely overflow if
230-milliliter cups are used for the next

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- Fall '19
- Normal Distribution, Standard Deviation, A.