The probability distribution function of a study is given as f(x) = { 2x k(x² – 1)3 ;2< x< 4 ; otherwise Determine P(2.5sx<4) a. 0.9866 b. 0.8866 c. 0.08866 d. None of the above Determine the mean. а. 3.59 b. 2.59 с. 3.29 d. None of the above Determine the variance. a. 0.129 b. 6.30 c. 2.191 d. None of the above Determine the Standard Deviation а. 2.51 b. 0.359 с. 1.480 d. None of the above Determine P(x=2 ) a. 0.50 b. 0.25 С. О d. 0.75

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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The probability distribution function of a study is given as
2x k(x2 – 1)3
f(x) = {*O
;2<x< 4
; otherwise
Determine P(2.5<x<4)
a. 0.9866
b. 0.8866
c. 0.08866
d. None of the above
Determine the mean.
а. 3.59
b. 2.59
с. 3.29
d. None of the above
Determine the variance.
a. 0.129
b. 6.30
c. 2.191
d. None of the above
Determine the Standard Deviation
а. 2.51
b. 0.359
С. 1.480
d. None of the above
Determine P(x=2 )
a. 0.50
b. 0.25
С. О
d. 0.75
Transcribed Image Text:The probability distribution function of a study is given as 2x k(x2 – 1)3 f(x) = {*O ;2<x< 4 ; otherwise Determine P(2.5<x<4) a. 0.9866 b. 0.8866 c. 0.08866 d. None of the above Determine the mean. а. 3.59 b. 2.59 с. 3.29 d. None of the above Determine the variance. a. 0.129 b. 6.30 c. 2.191 d. None of the above Determine the Standard Deviation а. 2.51 b. 0.359 С. 1.480 d. None of the above Determine P(x=2 ) a. 0.50 b. 0.25 С. О d. 0.75
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