Question

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 the subject has to wait for the light to flash.
what height must the density curve have?
option 1
option 2
option 3
option 4

Explanation:

Step1: Area of rectangle formula

The area under a density curve is \(1\). For a rectangle, the area formula is \(A=\text{base}\times\text{height}\).

Step2: Determine base length

The base of the rectangle (time interval) is \(5 - 1=4\) seconds.

Step3: Solve for height

Using \(A = 1\), \(A=\text{base}\times\text{height}\), substitute \(A = 1\) and \(\text{base}=4\). Then \(1=4\times h\), so \(h=\frac{1}{4}=0.25\).

Answer:

Option 3