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3)Let X be the random variable, P(X=x) is the Probability mass function is given by X0,1,2,3 P(X=x)1/8,1/2,1/8,1/4 Find the value of P(X ≥ 1)

Sagot :

Answer:  7/8

Explanation

Add up the P(x) values for x = 1, x = 2, and x = 3.

1/2+1/8+1/4 = 4/8+1/8+2/8 = (4+1+2)/8 = 7/8

Another approach would be to notice that P(x) = 1/8 when x = 0, so 1 minus this probability will get us the same answer.

1-(1/8) = 8/8 - 1/8 = (8-1)/8 = 7/8

This is because either x = 0 or x ≥ 1. The two events are complementary.