For this case we have that by definition, the density is given by:
Where:
M: It is the mass of the diamond
V: It is the volume of the diamond
According to the data of the statement we have:
So the volume is:
Thus, the volume of the diamond is approximately
Answer:
The probability that the reaction time for this density function is at most 2.5 seconds is equal to 0.9.
<h3>What is a density function?</h3>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.
<h3>How to calculate the probability that reaction time is at most 2.5 seconds?</h3>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) =
What is the probability that reaction time is at most 2.5 seconds?