[15 10] The reaction time X (in seconds) to a certain
Chapter 0, Problem SE4.10(choose chapter or problem)
[15 10] The reaction time X (in seconds) to a certain stimulus is a continuous random variable with pdf 2 3 (x 1) if 1 x 2 f(x) { 1 3 (4 x) if 2 x 4 0 if x 1 or x 4 a. Find the cdf F(x) and draw the graphs of f(x) and F(x). Calculate the probability that the reaction time is between 1.5 and 2.5. b. Find the median, 25th, and 75th percentile of X. (Note: Geometric arguments suffice; no need to integrate.)
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