(i) (ii) (iii) Find P(Q). Find P(R). Are events Q and R exclusive? Justify your answer.

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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Question

6

Two fair twelve-sided dice with sides marked 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 are
thrown, and the numbers on the sides which land face down are noted. Events Q and R
are defined as follows.
Q: the product of the two numbers is 24.
R: both of the numbers are greater than 8.
(i)
Find P(Q).
(ii)
Find P(R).
(iii)
Are events Q and R exclusive? Justify your answer.
Are events Q and R independent? Justify your answer.
(iv)
Christa takes her dog for a walk every day. The probability that they go to the park on
any day is 0.6. If they go to the park there is a probability of 0.35 that the dog will bark. If
they do not go to the park there is a probability of 0.75 that the dog will bark.
(i)
Find the probability that they go to the park on more than 5 of the next 7 days.
Find the probability that the dog barks on any particular day.
(ii)
bearbeW yd ni bebripri ed of
boto bho emon juoy dtod spulont expe
Transcribed Image Text:Two fair twelve-sided dice with sides marked 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 are thrown, and the numbers on the sides which land face down are noted. Events Q and R are defined as follows. Q: the product of the two numbers is 24. R: both of the numbers are greater than 8. (i) Find P(Q). (ii) Find P(R). (iii) Are events Q and R exclusive? Justify your answer. Are events Q and R independent? Justify your answer. (iv) Christa takes her dog for a walk every day. The probability that they go to the park on any day is 0.6. If they go to the park there is a probability of 0.35 that the dog will bark. If they do not go to the park there is a probability of 0.75 that the dog will bark. (i) Find the probability that they go to the park on more than 5 of the next 7 days. Find the probability that the dog barks on any particular day. (ii) bearbeW yd ni bebripri ed of boto bho emon juoy dtod spulont expe
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Follow-up Question

i find the same ans for part1 ,but the model ans is 0.159,is that model ans wrong?

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Follow-up Question

no 6 is the question at the lowest part,i know how to solve no 5,can u help to solve no 6?

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