6 Two fair twelve-sided dice with sides marked 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 arethrown, and the numbers on the sides which land face down are noted. Events Q and Rare 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 onany day is 0.6. If they go to the park there is a probability of 0.35 that the dog will bark. Ifthey 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 ofboto bho emon juoy dtod spulont expe

HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS OF QUESTION two 12 sided dice are thrown ,…

Answered: (i) (ii) (iii) Find P(Q). Find P(R).…

Math

Probability

(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

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

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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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