Jeff is at the local casino. As long as he has a single dollar or more, he repeatedly plays a game where the probability of gaining a dollar is 1/3 and the probability of losing a dollar is 2/3. If he ever runs out of money, he goes home and asks his mum for another dollar. Consider this to also be a transition, that is P(0, 1)Calculate the stationary distribution of this chain.

Do social recommendations increase ad effectiveness? a study of online video viewers compared viewers who arrived at an advertising video for a particular brand by following a social media recommendation link to viewers who arrived at the same video by web browsing. data were collected on whether the viewer could correctly recall the brand being advertised after seeing the video. the results are given below.correctly recalled the brandarrival 409153browsing20484b. conduct the hypothesis test, using the 0.025 level of significance.what is the value of the test statistic? χ2stat=what is the p-value? p-value=is this value significant atα=0.025?

Which graph represents the same relation is the sa which graph represents the same relation as the set {(-3-2)}

Typically a point in a three dimensional cartesian coordinate system is represented by which of the following answers in the picture !