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?
Any terminating decimal number is rational.
A rational number is a number that can be written as a fraction of integers.
0.444 = 444/1000 = 222/500 = 111/250
0.444 is the same as 111/250, a fraction of integers, so 0.444 is rational.
B)
d)
9) I'm not really sure how to answer it, but I guess like 2.1, 2.2, 2.5, etc.,
10)
so {5, 6, 7, 8} is the answer
11) for some reason it won't let me insert a picture but put place
above 2, and then place
above 3, and then place
in between 2 and 3, but place it a little closer to three since
12) place
between 2 and three, but closer to two since
and also
and for number 13) the square root of 144 is 12, and the square root of 169 is 13, so any numbers between 12 and 13 will work.
I hope this helped and if not, message me and ill try to explain!
3.option a (-8,2)
4.option b (5,4)
