Page 49 - Fundamentals of Probability and Statistics for Engineers
P. 49
32 Fundamentals of Probability and Statistics for Engineers
B
0.85
A
a 0.90 b
C
0.90
Figure 2.12 Figure for Problem 2.18(a)
A B
p A p B
a b
C D
p C p D
Figure 2.13 Figure for Problem 2.18(b)
2.19 A rifle is fired at a target. Assuming that the probability of scoring a hit is 0.9 for
each shot and that the shots are independent, compute the probability that, in
order to score a hit:
(a) It takes more than two shots.
(b) The number of shots required is between four and six (inclusive).
2.20 Events A and B are mutually exclusive. Can they also be independent? Explain.
2.21 Let P A) 0:4, and P A [ B) 0:7. What is P B) if:
(a) A and B are independent?
(b) A and B are mutually exclusive?
2.22 Let P A [ B) 0:75, and P AB) 0:25. Is it possible to determine P(A) and P(B)?
Answer the same question if, in addition:
(a) A and B are independent.
(b) A and B are mutually exclusive.
TLFeBOOK
