A continuous random variable X is uniformly distributed over interval [2, 5]. What is the expected value of X? Answer Choices: a. 2.5 b. 3.5 c. 4.5 d. 5.5

The discrete random variable Xhas the probability distribution given by: 7 9. 12 13 15 P(X=x) u/2 0.05 0.35 0.15 u d. Find the expectation of the random variable Y, whereY = X-4 Answer in exact fraction, or rounded to at least 4 decimal places.

Let the random variable T follow a Student's t distribution with 9 degrees of freedom. State the distribution of the random variable T. Group of answer choices T∼Student′st(9) T∼Student′st(8) T∼Normal(0,1) T∼Student′st(0,1)     Compute the probability that T is between −0.1 and 0.6.    True or False:  The larger the degrees of freedom in a Student's t distribution, the closer to a standard normal distribution the Student's t distribution becomes.