An Internet reaction time test asks subjects to click their mouse button as soon as a light flashes on the screen. The light is programmed to go on at a randomly selected time after the subject clicks “Start.” The density curve models the amount of time Y (in seconds) that the subject has to wait for the light to flash.

a. Find and interpret P(Y > 3.75).

b. What is μY ? Explain your answer.

c. Find the value of k that makes this statement true: P(Y ≤ k) = 0.38.

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0 1 2 Y = Time until light flashes (sec) 3 4 5