13. Suppose a continuous random variable x has the probability density Sk(1 + x), 0 1.4) using distribution function,

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13. Suppose a continuous random variable x has the probability density
Sk(1+ x),
0 < x < 2
f(x) =
elsewhere
(a) Find k (b) Find P(0.3 < x < 0.9) (c) P(x > 1.4) using distribution function,
determine
the probabilities that (d) x is less than 2.2 (e) between 1.4 and 1.6 (f) Calculate mean and
variance for the probability density function.
Transcribed Image Text:13. Suppose a continuous random variable x has the probability density Sk(1+ x), 0 < x < 2 f(x) = elsewhere (a) Find k (b) Find P(0.3 < x < 0.9) (c) P(x > 1.4) using distribution function, determine the probabilities that (d) x is less than 2.2 (e) between 1.4 and 1.6 (f) Calculate mean and variance for the probability density function.
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