4) 1017(2com plete) ? This Test: 7 pts The random variable x has the following d

Question

4) 1017(2com plete) ? This Test: 7 pts The random variable x has the following discrete probability distribution 10 02 12 0.1 13 0.3 ppx) 0.1 0.3 srcethe values that x can assume are mutually exclusive events, te event S12 steunon ofthree mutually exclusive events, b 10 11Me! Complete parts a through e a. Find Ptxs 12). Pk 12)- b. Find P(x>12) P(x> 12) c. Find P(xs 14) Pas 14):D d, Find P(x=14) h-14-? e. Find Pxs 11 or x > 12) Pixs 11 or x > 12) Enter your answer in each of the answer boxes ? Final Exam

Explanation / Answer

a) P(X <= 12) = 0.2 + 0.1 + 0.1 = 0.4

b) P(X > 12 ) = 1 - P(X <= 12) = 1 - 0.4 = 0.6

c) P(X <= 14 ) = 1 as the max value is 14. So probability here is 1.0

d) P(X = 14) = 0.3

e) P(X <= 11 or X > 12 ) means P(X not equal to 12 ) = 1 - P(X = 12) = 1 - 0.1 = 0.9

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