The following tables gives the probability distribution of a discrete random variable X. 1 2 3 4 P(x) 0.03 0.14 0.23 0.27 0.19 0.14 Find the following probabilities. a. P(x = 1) = b. P(x <1) = c. P(x > 3) = d. P(0 < x < 2) =| e. The probability that x assumes a value less than 3: f. The probability that x assumes a value greater than 3: g. The probability that x assumes a value in the interval from 2 to 4 inclusive:

Let X be a random variable with the following probability distribution. Value x of X P(X=x) 40 0.10 50 0.45 60 0.15 70 0.20 80 0.05 90 0.05 Find the expectation E(X) and variance Var(X) of X.

Consider the table below gives the probabilities of the distribution of random variable X. Value of X P(X=x) (denoted by x) f(x) 0 1 2 3 4 567 00 8 0.14 b C 0.10 0.13 0.13 d 0.02 0.01 In reference to the table, suppose that b = f(1) =0.2 and c = f(2)= 0.06. What is the probability P(X ≥ 4) equal to?

Consider the following probability distribution of the random variable x. f(x) 0.34 1 0.22 2 0.17 3 0.10 4 0.17 Find the probability that x is at least 3. Select one: O a. 0.73 O b. 0.27 O c. 0.56 O d. 0.17 O e. 0.44 O f. 0.83