Consider the following discrete probability distribution. 15 0.16 34 0.25 40 0.1

Question

Consider the following discrete probability distribution. 15 0.16 34 0.25 40 0.18 P(X=x) 0.41 a. Is this a valid probability distribution? Yes No c. What is the probability that the random variable X is less than 40? (Round your answer to 2 decimal places.) Probability d. What is the probability that the random variable X is between 14 and 32? (Round your answer to 2 decimal places.) Probability e. What is the probability that the random variable X is greater than 19? (Round your answer to 2 decimal places.) Probability

Explanation / Answer

a) yes, this is valid distribution because sum of all probabilities is equal to 1

c) P(X<40) = 0.16+0.41+0.25 = 0.82

d) P(14<X<32) = 0.16+0.41 = 0.57

e) P(X>19) = 1-0.16 = 0.84

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