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)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 36E
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![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa03d56cb-5e6e-44ce-994b-937c7c708346%2Fedd92459-6a3a-4a1e-83cb-cbc8e66b6e29%2F24e3fqo_processed.jpeg&w=3840&q=75)
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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