0.12 A die is thrown. Consider the following events: Let A even number occurs %3D = prime number occurs D' C = odd number occurs number is divisible by 5 Are A and B equally likely events? (i) (ii) Are A and B mutually exclusive events? (iii) Are A and C mutually exclusive events? (iv) Are A and C collectively exhaustive events? (v) Which of the above events are simple and which are compound? Ans: (i) Yes (ii) No (iii) Yes (iv) Yes (v) Simple event = D and compound events = A, B and C. Cillouing events are defined: %3D %3D

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Solve Q12 part iv and v

Q.11A coin is tossed twice. Let A be the event that at least one tail appears, B be
(ii) P(A n B)
(iii) P(AUB)
(iv) 5/26
(i) P(A)
(iv) P(A n B) (v) P(A U B)
(v) 43/52
the event that at most one tail appears and C be the event that exactly two
tails appear.
) Are B and C mutually exclusive events?
(ii) Are A and B equally likely events?
(iii) Are B and C collectively exhaustive events?
Ans: (i) Yes (ii) Yes (iii) Yes
0.12 A die is thrown. Consider the following events:
Let A
even number occurs
%3D
prime number occurs
number is divisible by 5
%3D
odd number occurs
D
%3D
Are A and B equally likely events?
(i)
(ii) Are A and B mutually exclusive events?
(iii) Are A and C mutually exclusive events?
(iv) Are A and C collectively exhaustive events?
(v) Which of the above events are simple and which are compound?
Ans: (i) Yes
(ii) No
(iii) Yes
(iv) Yes
(v) Simple event D and compound events = A, B and C.
Q.13 Two dice are thrown once. The following events are defined:
= sum of spots is 8
D = different numbers appear
%3D
A =
B
= sum of spots is 6
C = same numbers appear
%3D
%D
llu exclusive events?
Transcribed Image Text:Q.11A coin is tossed twice. Let A be the event that at least one tail appears, B be (ii) P(A n B) (iii) P(AUB) (iv) 5/26 (i) P(A) (iv) P(A n B) (v) P(A U B) (v) 43/52 the event that at most one tail appears and C be the event that exactly two tails appear. ) Are B and C mutually exclusive events? (ii) Are A and B equally likely events? (iii) Are B and C collectively exhaustive events? Ans: (i) Yes (ii) Yes (iii) Yes 0.12 A die is thrown. Consider the following events: Let A even number occurs %3D prime number occurs number is divisible by 5 %3D odd number occurs D %3D Are A and B equally likely events? (i) (ii) Are A and B mutually exclusive events? (iii) Are A and C mutually exclusive events? (iv) Are A and C collectively exhaustive events? (v) Which of the above events are simple and which are compound? Ans: (i) Yes (ii) No (iii) Yes (iv) Yes (v) Simple event D and compound events = A, B and C. Q.13 Two dice are thrown once. The following events are defined: = sum of spots is 8 D = different numbers appear %3D A = B = sum of spots is 6 C = same numbers appear %3D %D llu exclusive events?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Pyramids
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman