Question

X is a discrete random variable with cumulative distribution function F(x) as shown in the table below. What is P1[.X<2]? fr

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Answer #1

Probability mass function from given cumulative distribution function is given by,

x 0 1 2 3
P(x) 1/8 (1/2)-(1/8)=3/8 (7/8)-(1/2)=3/8 1-(7/8)=1/8

P[X < 2] = 006 + 2010 + 100

  =\frac{7}{8}

Option A) is correct.

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