The mit soccer team has 2 games scheduled for one weekend. it has a 0.4 probability of not losing the first game. and a 0.7 probability of not losing the second game, independent of the first. if it does not lose a particular game, the team is equally likely to win or tie. independent of what happens in the other game. the mit team will receive 2 points for a win, 1 for a tie. and 0 for a loss. find the pmf of the number of points that the team earns over the weekend.

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)