Question: Question Based on the definition of a probability density function, why is this function invalid? f(y) = 15 (4- y), for 1sys 5 0, otherwise

Question

Based on the definition of a probability density function, why is this function invalid? f(y) = 15 (4- y), for 1sys 5 0, otherwise a. Probability density functions can't be piece-wise functions. b. The variable should be x not y. c. The range of the r.v. can only be from - co to too. d. The function does not integrate to 1 over the sample space

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