Let X₁, X2,..., Xn be a random sample on the random variable that is uniformly distributed over the interval (1,0) Cit 1:1

Let � be a continuous random variable distributed by �(11,1.2), find:A) �(�≥8.89)=  Keep your answer in 4 decimal places.B) �(�>11.97)=  Keep your answer in 4 decimal places.**Notes: DO NOT round any z-score.

Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)

Let X₁, X₂, ..., X5 be a random sample from N(1,4) and let Y₁, Y₂, Y3 be an independent random sample from N(3, 4). Find P > 1) using a proper F distribution, where S and S are sample variances for the two random samples respectively. In R/RStudio, the function of can be used for compute the probabilities based on F distribution.

Let X denote the random variable that gives the sum of the faces that fall uppermost when two fair dice are cast. Find P ( X = 5 )

For each random variable defined, describe the set of possible values for the variable, and state whether the variable is discrete or continuous.  (a) U = number of times a surfer has to paddle in front of a wave before catching one (b) X = length of a randomly selected angelfish