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- StatisticsThe probability distribution of the binomial random variable X is 3-x b(x; n, p) = (³) (¹) * (-²) ³**. x = 0,1,2,3. The standard deviation of X may be expressed as a simplest fraction equal to Find (a + b)².This is a Statistics problem. Are the random variables Z1+Z2 and Z1-Z2 the same? Do they have the same distribution?
- Prove the property3 The median value y of a continuous random variable is that value such that F(y) = 0.5. Find the median value of the random variable in 90.5 = f(y) = 2 25 -Y, 0 ≤ y ≤ 5, elsewhere. 0,Q8 and Q9 pleaseLet X be a continuous random variable that follows a uniform distribution over the interval (-3, 7]. Find the following. a. E(X) b. P(X=6) c. P(X<5) d. P(X|<4)