Question

2) The reaction time X (in minutes) of a certain chemical process follows a Uniform probability distribution over the range 12 to 24 minutes. Below is a graph of X's probability distribution: \text{density} 12 15 18 21 24 X a) Identify the Area, length, and height of the rectangle illustrated here. b) Find the value of $P(X < 20)$. Sketch a small copy of the graph above and shade in the region whose area corresponds to this probability. c) Find the value of $P(X > 22.5)$. Sketch a small copy of the graph above and shade in the region whose area corresponds to this probability. d) Find the 20th percentile for the values of variable X.

          2)
The reaction time X (in minutes) of a certain chemical process follows a
Uniform probability distribution over the range 12 to 24 minutes.
Below is a graph of X's probability distribution:
\text{density}
12
15
18
21
24
X
a) Identify the Area, length, and height of the rectangle illustrated here.
b) Find the value of $P(X < 20)$. Sketch a small copy of the graph above
and shade in the region whose area corresponds to this probability.
c) Find the value of $P(X > 22.5)$. Sketch a small copy of the graph above
and shade in the region whose area corresponds to this probability.
d) Find the 20th percentile for the values of variable X.

2)
The reaction time X (in minutes) of a certain chemical process follows a
Uniform probability distribution over the range 12 to 24 minutes.
Below is a graph of X's probability distribution:
density
12
15
18
21
24
X
a) Identify the Area, length, and height of the rectangle illustrated here.
b) Find the value of P(X < 20). Sketch a small copy of the graph above
and shade in the region whose area corresponds to this probability.
c) Find the value of P(X > 22.5). Sketch a small copy of the graph above
and shade in the region whose area corresponds to this probability.
d) Find the 20th percentile for the values of variable X.

Added by Jose Angel S.

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