Check whether the given function is a probability density function. If a function fails to be a probability density function, say why. f(x) = e* on [0, In 4] O Yes, it is a probability function. O No, it is not a probability function because f(x) is not greater than or equal to 0 for every x. O No, it is not a probability function because f(x) is not less than or equal to 0 for every x. O No, it is not a probability function because In 4 f(x) dx * 1. O No, it is not a probability function because In 4 f(x) dx = 1.

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Check whether the given function is a probability density function. If a function fails to be a probability density function, say why.
f(x) = e* on [0, In 4]
Yes, it is a probability function.
No, it is not a probability function because f(x) is not greater than or equal to 0 for every x.
No, it is not a probability function because f(x) is not less than or equal to 0 for every x.
"In 4
No, it is not a probability function because
f(x) dx ± 1.
'In 4
No, it is not a probability function because
f(x) dx
= 1.
Transcribed Image Text:Check whether the given function is a probability density function. If a function fails to be a probability density function, say why. f(x) = e* on [0, In 4] Yes, it is a probability function. No, it is not a probability function because f(x) is not greater than or equal to 0 for every x. No, it is not a probability function because f(x) is not less than or equal to 0 for every x. "In 4 No, it is not a probability function because f(x) dx ± 1. 'In 4 No, it is not a probability function because f(x) dx = 1.
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