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
1 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?
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Answer:
Area of rectangle PQRS is 14 square units.
Area of triangles UVW and EFG and square ABCD are 16 square units each.
Step-by-step explanation:
Let us find the area of each of the figures shown in the graph.
Area of rectangle PQRS is given as the product of PQ and QS.
From the graph,
Length of PQ = 7 units
Length of QS = 2 units
Now, area of rectangle PQRS = square units.
Now, area of square ABCD is given as the square of any of its side.
From the graph, AB = 4 units.
So, area of ABCD = square units.
Area of triangle UVW is given as the half of the product of its base VW and height UW.
From the graph, UW = 4 units, VW = 8 units
Therefore, area of triangle UVW = square units.
For triangle EFG, EF = 4 units and FG = 8 units.
Area = square units.
Area of rectangle PQRS is 14 square units. The remaining figures have areas each equal to 16 square units.