Verify that the function corresponding to the figure to the right is a valid probability density function. Then find the following probabilities a. P(x < 8) b. P(x>7) c. P(6

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Verify that the function corresponding to the figure to the right
is a valid probability density function. Then find the following
probabilities:
a. P(x < 8)
b. P(x> 7)
c. P(6 < x< 10)
d. P(8 <x < 11)
Af(x)
0.3-
0.1-
12
Verify that the function is a valid probability density function by confirming the given density function satisfies the probability density function properties. Select the correct choice below and, if necessary, fill in the answer box within your choice.
As f(x) <0 for at least one value of x and the total area under the density function above the x-axis is
O A.
(Type an integer or a decimal. Do not round.)
the given function is a valid probability density function.
O B. As f(x) >0 for all values of x, the given function is a valid probability density function.
As the total area under the density function above the x-axis is
the given function is a valid probability density function.
Oc.
(Type an integer or a decimal. Do not round.)
As f(x) > 0 for all values of x and the total area under the density function above the x-axis is
the given function is a valid probability density function.
D.
(Type an integer or a decimal. Do not round.)
Transcribed Image Text:Verify that the function corresponding to the figure to the right is a valid probability density function. Then find the following probabilities: a. P(x < 8) b. P(x> 7) c. P(6 < x< 10) d. P(8 <x < 11) Af(x) 0.3- 0.1- 12 Verify that the function is a valid probability density function by confirming the given density function satisfies the probability density function properties. Select the correct choice below and, if necessary, fill in the answer box within your choice. As f(x) <0 for at least one value of x and the total area under the density function above the x-axis is O A. (Type an integer or a decimal. Do not round.) the given function is a valid probability density function. O B. As f(x) >0 for all values of x, the given function is a valid probability density function. As the total area under the density function above the x-axis is the given function is a valid probability density function. Oc. (Type an integer or a decimal. Do not round.) As f(x) > 0 for all values of x and the total area under the density function above the x-axis is the given function is a valid probability density function. D. (Type an integer or a decimal. Do not round.)
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