Question

The reaction time (in seconds) to a certain stimulus is a continuous random variable with pdf f(x) 5 5 3 2 ? 1 x2 1

Answer 1

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.

Read more on density function here: brainly.com/question/14448717

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Complete Question:

The reaction time (in seconds) to a certain stimulus is a continuous random variable with pdf:

f(x) = $\left \{ {{\frac{3}{2x^2} \;1 \leq x\leq 3} \atop {0}\;otherwise} \right$

What is the probability that reaction time is at most 2.5 seconds?