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Solve the following problem: Following is the probability distribution of a r.v.X. X – 3 – 2 –1 0 1 2 3 P(X = x) 0.05 0.1 0.15 0.20 0.25 0.15 0.1 Find the probability that X is odd. - Mathematics and Statistics

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Question

Solve the following problem:

Following is the probability distribution of a r.v.X.

X – 3 – 2 –1 0 1 2 3
P(X = x) 0.05 0.1 0.15 0.20 0.25 0.15 0.1

Find the probability that X is odd.

Sum

Solution

P(X is odd)

= P(X = –3 or X = –1 or X = 1 or X = 3)

= P(X = –3) + P(X = – 1) + P(X = 1) + P(X = 3)

= 0.05 + 0.15 + 0.25 + 0.10

= 0.55

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Chapter 8: Probability Distributions - Part I [Page 155]

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SCERT Maharashtra Mathematics and Statistics (Arts and Science) [English] 12 Standard HSC
Chapter 2.7 Probability Distributions
Short Answers I | Q 4. (ii)

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Here, n = 4

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