A First Course In Probability, Global Edition
10th Edition
ISBN: 9781292269207
Author: Ross, Sheldon
Publisher: PEARSON
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Chapter 1, Problem 1.15STPE
A total of n students are enrolled in a review course for the actuarial examination in probability. The posted results of the examination will list the names of those who passed in decreasing order of their scores. For instance, the posted result will be Brown. Cho if Brown and Cho are the only ones to pass, with Bron receiving the higher score. Assuming that all scores are distinct (no ties), how many posted results are possible?
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Students have asked these similar questions
Q9. If A and B are two events, prove that P(ANB) ≥ 1 − P(Ā) – P(B). [Note: This
is a simplified version of the Bonferroni inequality.]
Q6. Consider a situation where cars entering an intersection could turn right, turn left,
or go straight. An experiment consists of observing two vehicles moving through
the intersection.
(a) How many sample points are there in the sample space? List them.
(b) Assuming that all sample points are equally likely, what is the probability that
at least one car turns left?
(c) Again assuming equally likely sample points, what is the probability that at
most one vehicle turns right?
13. If X has the distribution function
F(x)
=
0
1
12
for x < -1
for -1x < 1
for 1x <3
2
3
for 3≤x≤5
4
1
for x≥5
find
(a) P(X ≤3); (b) P(X = 3);
(c) P(X < 3);
(d) P(X≥1); (e) P(-0.4
Chapter 1 Solutions
A First Course In Probability, Global Edition
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