Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of boys in each outcome. For example, if the outcome is gbg, then R(gbg) = 1. Suppose that the random variable X is defined in terms of R as follows: X=2R-2R-4. The values of X are given in the table below. Outcome gbb bgg bbg ggb bbb bgb gbg ggg Value of X 0 -4 -4 8 -4 -4 Calculate the values of the probability distribution function of X, i.e. the function py. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Valuex of X Px (x) 口| 0 olo

If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the probability Of randomly selecting 3 patients in a row who have the flue?

I will be glad if the answer comes quickly

An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let R be the random variable counting the number of heads in each outcome. For example, if the outcome is tth, then =Rtth1. Suppose that the random variable X is defined in terms of R as follows: =X−R2−3R4. The values of X are given in the table below.   Outcome htt tht hth thh ttt hhh hht tth Value of  X −6 −6 −6 −6 −4 −4 −6 −6   Calculate the values of the probability distribution function of X, i.e. the function p X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row.

In a class there are 18 juniors and 10 seniors; 6 of the seniors are females, and 12 of the juniors are males. If a student is selected at random, find the probability of selecting the following A junior or a female A junior or a senior A junior who is a female