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A.b.Let ð‘‹ be a discrete random variable with probability distribution function ð‘“(ð‘¥) = ð‘˜(ð‘¥2 + ðµ) and ð‘‹ = −1,1,2,3.i. Find the value of ð‘˜. ii. Find the Variance of ð‘‹. Let ð‘‹ denote a discrete random variable which can take the values −2,0, and 5. Given that the expectation of ð‘‹ is 𑨠and ð‘ƒ(ð‘‹ = −2) = ð‘¨, find ð‘·(ð‘¿ = ðŸ“)
a.b.Let ð‘‹ be a discrete random variable with probability distribution function ð‘“(ð‘¥) = ð‘˜(ð‘¥2 + ðµ) and ð‘‹ = −1,1,2,3.i. Find the value of ð‘˜. ii. Find the Variance of ð‘‹. Let ð‘‹ denote a discrete random variable which can take the values −2,0, and 5. Given that the expectation of ð‘‹ is 𑨠and ð‘ƒ(ð‘‹ = −2) = ð‘¨, find ð‘·(ð‘¿ = ðŸ“)
Calculus 3
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Find the expected value and variance for each random variable whose probability density function is given. When computing the variance, use formula (5). $$f(x)=5 x^{4}, 0 \leq x \leq 1$$
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