Suppose the density function of a continuous random Variable X is.pdf
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The document discusses the density function of a continuous random variable defined as f(x) = ax^(-1/2) for the range 4 to 25. It seeks to find the constant 'a' for proper probability, compute the cumulative distribution function (cdf), expected value, variance, and the probability of the variable falling between 9 and 16. Solutions involve integration of the function over the specified limits.
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Suppose the density function of a continuous random Variable X is.pdf
- 1. Suppose the density function of a continuous random Variable X is: f(X) = AX^(-1/2) where 4 ≤ X ≤ 25. a.) Find the value of the constant A so that f(X) is a PROPER probability function. b.) Find CDF(X), E(X^2), V(X), σ(X) c.) Find P(9 ≤ X ≤ 16). Solution b) CDF= integration (1/6)*X^(-1/2) from 4 to x where 4