The probability that the reaction time for this density function is at most 2.5 seconds is equal to 0.9.
What is a density function?
A density function can be defined as a type of function which is used to represent the density of a continuous random variable that lies within a specific range.
How to calculate the probability that reaction time is at most 2.5 seconds?
P(X ≤ 2.5) = Fx(2.5)
Fx(2.5) = 3/2 - 3/2(2.5)
Fx(2.5) = 3/2 - 3/5
Fx(2.5) = 0.9.
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Complete Question:
The reaction time (in seconds) to a certain stimulus is a continuous random variable with pdf:
f(x) = [tex]\left \{ {{\frac{3}{2x^2} \;1 \leq x\leq 3} \atop {0}\;otherwise} \right[/tex]
What is the probability that reaction time is at most 2.5 seconds?
