4 Consider the following two functions, each having an unknown parameter c. S(r²+4x +7) -5

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4 Consider the following two functions, each having an unknown parameter c.
S(r? + 4x + 7) -5 <x < 5
f(x) =
otherwise,
TO (r – c)? – 1) -5 <x < 5
9(x) =
otherwise.
For each, determine if the function can be a probability density function. If so, determine the
appropriate value of c, and if not, explain why.
crv050d
Transcribed Image Text:4 Consider the following two functions, each having an unknown parameter c. S(r? + 4x + 7) -5 <x < 5 f(x) = otherwise, TO (r – c)? – 1) -5 <x < 5 9(x) = otherwise. For each, determine if the function can be a probability density function. If so, determine the appropriate value of c, and if not, explain why. crv050d
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It is been asked to verify whether the given two functions are probability density functions and hence find the value of constant c.

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