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Consider the following discrete probability distribution. x 15 22 34 40 P(X = x)

ID: 3126098 • Letter: C

Question

Consider the following discrete probability distribution. x 15 22 34 40 P(X = x) 0.14 0.40 0.26 0.20

What is the probability that the random variable X is less than 40? What is the probability that the random variable X is between 10 and 30?

What is the probability that the random variable X is greater than 20?

What is the probability that the random variable X is less than 40? What is the probability that the random variable X is between 10 and 30?

What is the probability that the random variable X is greater than 20?

Explanation / Answer

1) p ( x < 40 ) = 0.14+0.40+0.26 = 0.80

2) p ( 10 < x < 30 ) = 0.14 + 0.40 = 0.54

3 ) p ( x > 20 ) = 0.40+0.26+0.20 = 0.86

x 15 22 34 40 p ( X=x) 0.14 0.40 0.26 0.20