Suppose on a fair 8-sided die, The gambler rolls the die where the gambler loses $6 if a 1,2,3, or 4 is rolled. While on a roll of 5, 6, 7, 8 the gambler wins that amount. Imagine the game is played until an 8 is rolled. What kind of random variable models this event? Let T be the random variable that models the number of rolls required to get an 8. What is P(T ≥ 4) ?  "SHOW THE WORK" Pick the correct answer: 15/64 3/4 0.33 169/512 343/512

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 girls in each outcome. For example, if the outcome is gbb, then =Rgbb1. Suppose that the random variable X is defined in terms of  R as follows: =X−2R−R22. The values of X are given in the table below.   Outcome ggb gbb bgb bbb bbg bgg ggg gbg Value of  X −2 −1 −1 −2 −1 −2 −5 −2   Calculate the values of the probability distribution function of  X , i.e. the function  pX . First, fill in the first row with the values of  X . Then fill in the appropriate probabilities in the second row. Value  x  of  X       pXx

A of I women and 6 men are randomly divided into 2 groups of size 6 eaen. What is the probability that both groups will have the same number of men? group

As a reward for a record year, a software company is randomly selecting 4 people from its 400 employees for a free trip to Hawaii, but it will not pay for a traveling companion. If John and Jill are married and both are employees, what is the probability that they will both win? Define n(S) = total number of ways 4 employees may be selected from 400 employees. n(S) = Define n(P) = number of ways John and Jill and 2 of the remaining 398 employees are picked for the free trip. n(P) : Find the probability that both John and Jill win the free trip. (Round your answer to six decimal places.) Pr(John and Jill) %3D

for the experiment of rolling and ordinary pair of dice, find the probability that the sun will be our or a multiple of three( you may want to use a table shine in the sun for each of the 36 equally likely outcome)

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 girls in each outcome. For example, if the outcome is bbb, then R(bbb)=0. Suppose that the random variable X is defined in terms of R as follows: X=R^2-2R-1. The values of X are given in the table below.

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 girls in each outcome. For example, if the outcome is bbg, then R(bbg) = 1. Suppose that the random variable X is defined in terms of R as follows: X=R- - 2R-4. The values of X are given in the table below. Outcome bbb ggb bbg gbg gbb bgg bgb gg Value of X-4 -4 -5 -4 -5 -4 -5 -1 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. Value x of X Px (x) E 1:48 PM 3/21/2022 hp Compag LAI956X 立

For the experiment of rolling an ordinary pair of​ dice, find the probability that the sum will be less than 7 or greater than 11.

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?

An experiment consists of rolling a pair of fair dice, one red and one green. An outcome is an ordered pair (r,g), where r is the number on the red die and g is the number on the green die. List all outcomes of this experiment.