01. Statistics Sp xyCengageNowi te Online teachir × The Random Variable X Is Knc
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Question
01. Statistics Sp xyCengageNowi te Online teachir × The Random Variable X Is Knc × C O east.cengagenow.comvilim/takeAssignmen ain.do?takeAssignmentSessionLocator-assignm 3. fo) 0.2 0.1 5 10 15 20 25 30 35 40 45x 4. foo) 0.2 0.1 s 10 1S 20 25 30 35 40 45 >x Graph 3 b. The probability that the download time will be less than 12 minutes is c. The probability that the download time will be between 8 and 14 minutes is (to 3 decimals) d. The probability that the download time will be at least 13 minutes is(to 3 decimals) e. The probability that the download time will be no more than 3 minutes is . (to 3 decimals) f. Compute E(z) (to 1 decimal place, if necessary). g. Compute Var(x) (to 3 decimals).Explanation / Answer
A) Option-3)
B) P(X < 12) = (12 - 4) / (18 - 4) = 0.571
C) P(8 < X < 14) = (14 - 8) / (18 - 4) = 0.429
D) P(X > 13) = (18 - 13) / (18 - 4) = 0.357
E) P(X < 3) = 0
F) E(X) = (18 + 4) / 2 = 11
G) Var(X) = (18 - 4)2 / 12 = 16.333
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