Class Examples for Chapter 4
Probability Theory
Example 1.
For each of the following experiments, determine the sample space and list
some typical events.
Experiment
Sample Space
Some Typical Events
1.
Roll one typical sixsided
die and record the number
of the face on which it
comes to rest.
2.
Roll 2 typical sixsided
dice and record the two
faces that appear when
they come to rest.
3.
Roll 2 typical sixsided
dice and record the sum of
the two faces that appear
when they come to rest.
4.
Take a sample of families
that have 3 children.
For
each family, write a list of
the genders of the
children.
5.
Take a sample of families
that have 4 children.
For
each family, write a list of
the genders of the
children.
6.
Take a sample of people
at an amusement park and
record the number of tries
it takes them to correctly
guess the weight of Bozo
the Clown.
7.
Measure the times it takes
the students in this class to
complete their midterm
exam if no timerestriction
were imposed.
8.
Measure the times it takes
the students in this class to
complete their midterm
exam if 2hour time
restriction were imposed.
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View Full DocumentExample 2.
Hospital records indicated that 127 maternity parents stayed in the hospital
for the number of days shown in the following distribution:
Number of
days stayed
Frequency
3
15
4
32
5
56
6
19
7
5
Compute the following probabilities:
i)
A patient stayed exactly 5 days.
ii)
A patient stayed less than 6 days.
iii)
A patient stayed at most 4 days.
iv)
A patient stayed at least 5 days.
Example 3.
A box contains 5 red, 2 white, and 3 green marbles.
If a marble is selected
at random, find these probabilities.
i)
That it is red.
ii)
That it is green.
iii)
That it is red or green.
iv)
That it is not green.
v)
That it is not red.
Example 4.
Determine which events are mutually exclusive and which are not when a
single card is drawn from a typical 52card deck.
i)
Getting a 7 and getting a jack.
ii)
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 Spring '11
 rsharma
 Probability theory, top20rated mba program

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