Imagine we had a sample of 15 couples and we wanted to predict which of the couples are likely to still be together in 1 year’s time. in an attempt to do this, we filmed each couple having a 5-minute discussion about a recent ‘difficult issue’ that had arisen in their relationship (e. g., how the household chores should be divided). we then coded the video footage and gave each couple a rating out of 20 on three predictors of relationship longevity: (1) listening to each other; (2) level of compromise; and (3) signs of contempt. the outcome was whether they were together a year later (score = 1) or not (score = 0). how could we analyse these data?

If a =6, what is the value of 2a(3b + 5c)?

Rick is driving to his uncles house in greenville,which is 120 miles from ricks town .after covering x miles rick she's a sign stating that greensville is 20 miles away. which equation when solved will give the value of x. a: x+120 = 20 b: x x120 =20 c: x +20 equals 120 d: x x20= 120

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.