The discrete random variable, X, assumes the values = 1, 2, 3, 4, 5, 6, and 7 only. The cumulative distribution function

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The Discrete Random Variable X Assumes The Values 1 2 3 4 5 6 And 7 Only The Cumulative Distribution Function 1 (51.31 KiB) Viewed 6 times

The discrete random variable, X, assumes the values = 1, 2, 3, 4, 5, 6, and 7 only. The cumulative distribution function is given below. For each problem, (i) state the given. probabilities in terms of the cumulative distribution function and (ii) find the following probabilities using the cumulative distribution function. 1 7 I 2 3 5 4 6 F(x) 2a +0.15 F(1) +0.1 F(2)+a 2F(1) +a 3F(1) F(2) + F(3) +0.1 F(6) +0.15. 8. Find the value of a. b. P(X ≤5) b. P(2≤X ≤5) C. P(X > 4) d. P(X = 3) A particular discrete random variable X can assume only the values 1, 2, 3, 4, 5, 6 and 7. The probability mass function is shown below. .. C. a. 1 f(x) 2ƒ(3) Find the value of a. 3 4 2 5a-0.2 6a-0.4 4a-0.2 P(X ≥ 5). P(X>1). b. d. f. h. 5 2a b. 6 0.24 e. g. Find V(X). The p.m.f for a random variable takes on the values 6, 10, and 26 and no others. E(X)= 12 and V(X) = 52. Find the p.m.f. Find F(x). Find P(X> 4). Find E(X). Find o 7 3a-0.2 Find the c.d.f