13 13 2. (222) = 2 · (¹12) ² 2 4 Problem 3. Two events A and B are such that P(A) = 0.4, P(B) = 0.3, and P(AUB) = 0.6. Find the following: a. P(ANB) P(ANB)=P(A) PUB) 0.4 (0.3)= (012) b. P(ANB) -(A) = 1 - PLA) = 1-0,4=0.6 PLĀNB)=P(A) PEB)= d.c(0: 2 0.18 0.3 = (0.6 x 0 P(B) = 1-PLB) = 1-0.3=0.7 PLA). PLB) c. P(AB) =P(ANB) P..LB d. P(A/B) = P(ANB) PLB) = A and B are not = 014 (017) = 1014 0.7 P(B) Problem 4. As items come to the end of a production line, an inspector

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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13
2
c. P(A/B)
=P(ANB)
P.H
d. P(A/B
$}
= P(ANB)
PLB)
4
Problem 3. Two events A and B are such that P(A) = 0.4, P(B) = 0.3,
and P(AUB) = 0.6. Find the following:
b. P(ANB)
(A) = 1- P(A) = 1-0,4=0.6
a. P(ANB)
P(ANB) = P(A) 2(B) 0.4(0.3) = 0.12
=
13
2. (12)²
=
=
PLANB)=P(A) REB)= d.c(0.3
0.18
0.3
P(B) = 1- P(B) = 1-0.3=0.7
PLA). PLB)
P(B)
Problem 4. As items come to the end of a production line, an inspector
= (0.6)x E)
Tox
A and B are not
=.
O
0.4 (017) = 0.4
0.7
Transcribed Image Text:13 2 c. P(A/B) =P(ANB) P.H d. P(A/B $} = P(ANB) PLB) 4 Problem 3. Two events A and B are such that P(A) = 0.4, P(B) = 0.3, and P(AUB) = 0.6. Find the following: b. P(ANB) (A) = 1- P(A) = 1-0,4=0.6 a. P(ANB) P(ANB) = P(A) 2(B) 0.4(0.3) = 0.12 = 13 2. (12)² = = PLANB)=P(A) REB)= d.c(0.3 0.18 0.3 P(B) = 1- P(B) = 1-0.3=0.7 PLA). PLB) P(B) Problem 4. As items come to the end of a production line, an inspector = (0.6)x E) Tox A and B are not =. O 0.4 (017) = 0.4 0.7
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