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The Normal Distribution
Select one of the five buttons below to take you to a
leveled question regarding the Normal Distribution and
the Empirical Rule.
Level 1
Level 4
Level 3
Level 2
Level 5
Question – Level 1
The amount of soap dispensed from a machine in a
restroom is normally distributed with a mean of 0.05 ounce
and a standard deviation of 0.001 ounce. If the machine is
used 500 times how many times would it be expected to
dispense more than 0.05 ounce?
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Question – Level 2
A battery’s lifetime is normally distributed with a mean of
500 days and a standard deviation of 61 days. If you have
427 batteries how many would you expect to last between
439 and 561 days?
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Question – Level 3
A group of 625 students has a mean age of 15.8 years with
a standard deviation of 0.6 years. The ages are normally
distributed. How many students are at least 17 years old?
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Question – Level 4
The incubation period for the eggs of a House Wren is
normally distributed with a mean time of 336 hours and a
standard deviation of 3.5 hours. What is the probability that
an egg will take more than 346.5 hours to hatch?
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Question – Level 5
The manufacturer of a light bulb is claiming that the life
span of the bulb is normally distributed, with a mean of 2000
hours and a standard deviation of 250 hours. You test 50
light bulbs. How many of the tested bulbs lasted less than
1750 hours or over 2500 hours?
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Solution – Level 1
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Solution – Level 2
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Solution – Level 3
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Solution – Level 4
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Solution – Level 5
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