A gambler has 4 packs of cards, each of which is well shuffled and has equal numbers of red, green and blue cards. For each turn he pays 2$ and draws a card from each pack. He wins 3$ if he gets 2 red cards, 5$ if he gets 3 red cards and 10$ if he gets 4 red cards. Let the random variable X represent how much the gambler earned and Y represent the number of blue cards chosen. Find the joint distribution of X and Y.

Does the problem involve permutations or? combinations? do not solve. the matching section of an exam has 4 questions and 7 possible answers. in how many different ways can a student answer the 4 ? questions, if none of the answer choices can be? repeated?

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?

If f(x) = x+8 and g(x) = 4x- 3, find (f+g)(x)