The probability distribution of the random variable X is given in the following table. Random variable, x -2 -1 0 1 2 3 P(X = x) 0.10 0.15 0.05 0.20 0.15 0.35 Find the following probabilities. (a) P(X = 0) (b) P(X ≤ 0) (c) P(-1 < X ≤ 4) (d) P(X ≥ 1)

The probability distribution of the random variable X is given in the following table. Random variable, x -2 -1 0 1 2 3 P(X = x) 0.10 0.15 0.05 0.20 0.15 0.35 Find the following probabilities. (a) P(X = 0) (b) P(X ≤ 0) (c) P(-1 < X ≤ 4) (d) P(X ≥ 1)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The probability distribution of the random variable X is given in the following table.

Random variable, x	-2	-1	0	1	2	3
P(X = x)	0.10	0.15	0.05	0.20	0.15	0.35

Find the following probabilities.

(a)    P(X = 0)

(b)    P(X ≤ 0)

(c)    P(-1 < X ≤ 4)

(d)    P(X ≥ 1)

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