QUESTION 4 Which of the following are TRUE about a cumulative distribution function (c.d.f.), F(x)? [Note:...

 

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QUESTION 4 Which of the following are TRUE about a cumulative distribution function (c.d.f.), F(x)? [Note: five of the options are correct] A c.d.f. can be used to represent the probability distribution for a discrete random variable. A c.d.f. can be used to represent the probability distribution for a continuous random variable. □ 0≤ F(x) ≤ 1 for all x . OF(x) must montonically increase from 0 to 1 as x increases. OF(x) must be integrated over an interval of x-values to calculate a probability, e.g. P(a< X<b). F(x) values represent the actual probabilities associated with random variable X taking on particular value x, i.e. P(X=x). The sum of all c.d.f. values must be equal to unity, i.e. ΣF(x) = 1. · The area under the c.d.f. curve must be equal to unity, i.e. OF(x) values represent accumulated probabilities. 00 F(x) dx = 1. 20 points Save Answ QUESTION 4 Which of the following are TRUE about a cumulative distribution function (c.d.f.), F(x)? [Note: five of the options are correct] A c.d.f. can be used to represent the probability distribution for a discrete random variable. A c.d.f. can be used to represent the probability distribution for a continuous random variable. □ 0≤ F(x) ≤ 1 for all x . OF(x) must montonically increase from 0 to 1 as x increases. OF(x) must be integrated over an interval of x-values to calculate a probability, e.g. P(a< X<b). F(x) values represent the actual probabilities associated with random variable X taking on particular value x, i.e. P(X=x). The sum of all c.d.f. values must be equal to unity, i.e. ΣF(x) = 1. · The area under the c.d.f. curve must be equal to unity, i.e. OF(x) values represent accumulated probabilities. 00 F(x) dx = 1. 20 points Save Answ

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all xR The random variable Xs CDF is indicated by the subscript X The probability distribution of ra... View the full answer