Suppose the reaction time in seconds to certain stimulus is

Reference no: EM13638539

Suppose the reaction time (in seconds) to certain stimulus is a continuous random variable X with cumulative distribution function of the form

F(x) => 0 x < 1

=> ((x^2) ? 1 )/8 1 ? x ? 3

=> 1 x > 3

Determine the following:

(a) Derive the pdf of X.

(b) Derive the probability of reaction time of being less than 2.5 seconds.

(d) Derive variance of X

Reference no: EM13638539

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