8. A random variable X has the following probability distribution: X 0 1 2 3 4 5 6 7 P(X) 0 K 2k 2k 3k k² 2k² 7k²+k Determine (i) k (ii) P(X < 3) (iii) P(X > 6) (iv) P(0 < x < 3)
8. A random variable X has the following probability distribution: X 0 1 2 3 4 5 6 7 P(X) 0 K 2k 2k 3k k² 2k² 7k²+k Determine (i) k (ii) P(X < 3) (iii) P(X > 6) (iv) P(0 < x < 3)
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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Transcribed Image Text:8. A random variable X has the following probability distribution:
X
0
1
2
3
4 5 6
7
P(X) 0
K
2k 2k
3k
k²
2k² 7k²+k
Determine
(i) k
(ii) P(X < 3)
(iii) P(X > 6)
(iv) P(0 < x < 3)
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