If each die in a pair is "loaded" so that one comes up half as often as it should, six comes up half again as often as it should, and the probabilities of the other faces are unaltered, then the probability distribution for the sum X of the number of dots on the top faces when the two are rolled is 2 3 4. P(z) TH TH TH H 12 16 22 8. 9 10 11 12 P(z) 1 1 H Compute each of the following. a. P(5 7). c. The mean µ of X. (For fair dice this number is 7.) d. The standard deviation o of X. (For fair dice this number is about 2.415.) 9+ 56
If each die in a pair is "loaded" so that one comes up half as often as it should, six comes up half again as often as it should, and the probabilities of the other faces are unaltered, then the probability distribution for the sum X of the number of dots on the top faces when the two are rolled is 2 3 4. P(z) TH TH TH H 12 16 22 8. 9 10 11 12 P(z) 1 1 H Compute each of the following. a. P(5 7). c. The mean µ of X. (For fair dice this number is 7.) d. The standard deviation o of X. (For fair dice this number is about 2.415.) 9+ 56
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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i. If each die in a pair is "loaded"
so that one comes up half as
often as it should, six comes up
half again as often as it should,
and the probabilities of the
other faces are unaltered, then
the probability distribution for
the sum X of the number of
dots on the top faces when the
two are rolled is
2 3
4
5 6
7
16 22
9 10 11 12
24 20 16 12
9
P(x)
144 144 144 144 144
Compute each of the following.
a. P(5 < X < 9).
b. P(X > 7).
c. The mean u of X. (For fair dice
this number is 7.)
d. The standard deviation o of X.
(For fair dice this number is
about 2.415.)
9+
56
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