Elementary Statistics
12th Edition
ISBN: 9780321837936
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 5, Problem 9CQQ
In Exercises 6–10, use the following: Five American Airlines flights are randomly selected, and the table in the margin lists the
| x | p(x) |
| 0 | 0+ |
| 1 | 0.006 |
| 2 | 0.051 |
| 3 | 0.205 |
| 4 | 0.409 |
| 5 | 0.338 |
9. Is 0 an unusually low number of flights arriving on time?
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We are given that
P(A | B) = 0.2
and
P(A) = 0.9.
Since
P(A | B) ≠ P(A),
the occurrence of event B changes the probability that event A will occur. This implies that A and B are events.So, to determine
P(A and B),
we can apply the general multiplication rule for events. Recall that
P(B) = 0.5.
P(A and B)
=
P(B) · P(A | B)
=
(0.5) ·
A customer for a home insurance policy owns a $200,000 home. The probability is 0.1% that the home will be totally destroyed by fire, and the probability is 0.5% that the home will suffer a 50% loss due to fire. Ignoring all other partial losses, the insurance company is interested in determining what premium it should charge for a policy just to break even. Let ? = ?ℎ? ?????? ?? ???????????? ???? ?? ?ℎ? ????????. State the Sample Space for the r.v. X INCLUDE the units: { } (i.e. list all the possible outcomes for the amount of compensation paid to the customer in $) HINT: make a probability distribution table
A customer for a home insurance policy owns a $200,000 home. The probability is 0.1% that the home will be totally destroyed by fire, and the probability is 0.5% that the home will suffer a 50% loss due to fire. Ignoring all other partial losses, the insurance company is interested in determining what premium it should charge for a policy just to break even? Let ? = ?ℎ? ?????? ?? ???????????? ???? ?? ?ℎ? ????????. Calculate the premium that the insurance company should charge for a policy to break even. Hint: use the probability distribution table you made to find the sample space of the r.v. X
Chapter 5 Solutions
Elementary Statistics
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