Part v Part viii Part ix Part xii

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Solve q28

Part v

Part viii

Part ix

Part xii

Q.28 The following contingency table is set up:
Find P(A), P(B) and P(A n B).
P(AnB)%3D 1/4 and P(A)= 5/8.
t random
Ans. P(A)
S The following contingency table is set up:
= 3/8, P(B) = 3/4, P(A n B) = 1/8
%3D
2 are red
rder, red
B
/143
A
10
20
obability
A
,20
40
Compute the following probabilitiès
orse Bi
(i) event A
(ii)
event B
(iii)
event A
event A and B
(vi)
event A and B
(iv) event B
d andi
(viii) event A and B
(ix)
event'A or B
(vii) event A and-B
(xii)
(iv) 2/3 (v) 1/9 (vi) 2/9
(x) 7/9 (xi) 7/9 (xii) 8/9
: event A or B
event A or B
(xi)
(iii) 2/3
(ix) 5/9
(x)
event A or B
Ans: (1)
1/3
(ii)
1/3
ce?
(vii) 2/9
(viii) 4/9
and B Q.29 Two coins are tossed. What is the conditional probability that the two heads
result, given that there is at least one head?
aluate
Q.30 A fair die is rolled. Let A be the event that the face is prime and B be the evnt
that the face is even. Find the following probabilities.
Ans. 1/3
(iii) P(A/B) (iv) P(B/A) (v) P(A/B)
(iv) 1/3
is the
(ii) P(A O B)
(v) 2/3
(i) P(A U B)
-.
(ii) 1/6
(iii) 1/3
Ans. (i) 5/6.
Transcribed Image Text:Q.28 The following contingency table is set up: Find P(A), P(B) and P(A n B). P(AnB)%3D 1/4 and P(A)= 5/8. t random Ans. P(A) S The following contingency table is set up: = 3/8, P(B) = 3/4, P(A n B) = 1/8 %3D 2 are red rder, red B /143 A 10 20 obability A ,20 40 Compute the following probabilitiès orse Bi (i) event A (ii) event B (iii) event A event A and B (vi) event A and B (iv) event B d andi (viii) event A and B (ix) event'A or B (vii) event A and-B (xii) (iv) 2/3 (v) 1/9 (vi) 2/9 (x) 7/9 (xi) 7/9 (xii) 8/9 : event A or B event A or B (xi) (iii) 2/3 (ix) 5/9 (x) event A or B Ans: (1) 1/3 (ii) 1/3 ce? (vii) 2/9 (viii) 4/9 and B Q.29 Two coins are tossed. What is the conditional probability that the two heads result, given that there is at least one head? aluate Q.30 A fair die is rolled. Let A be the event that the face is prime and B be the evnt that the face is even. Find the following probabilities. Ans. 1/3 (iii) P(A/B) (iv) P(B/A) (v) P(A/B) (iv) 1/3 is the (ii) P(A O B) (v) 2/3 (i) P(A U B) -. (ii) 1/6 (iii) 1/3 Ans. (i) 5/6.
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