Question: * Please answer all parts * Page Date I The time Spent ( in mins ) by Steve and John bivariate on a homework problem

* Please answer all parts * Page Date I The time Spent ( in mins ) by Steve and John bivariate on a homework problem jointly follow a normal distribution with Me = 84 5s = 18, MJ = 60 , 57 = 15 , P =0.60 al what is the probability that Steve would Spend over 102 minutes on a homework problem. [That is , find BP ( 5 > 102 ) ] bj Suppose we know John Spent 57 mins on a particular homework problem . What is the probability that Steve would spend over 102 min on that problem ? [ That is , find REB . P (S > 102 0 5-57 ) (] Suppose we know that Steve spent 100 minutes on a home work problem . what is the probability that John would spend over 65 ming on that problem . / That is , find P ( J > 65 / 5 = 100 ) ] JJ what is the probability that Steve would Spend more time than John on a problem ? [ That is , find P ( s > J ) ] eJ What is the probability that steve would spend more than twice the amount of time John would spend on a problem ? [ That is , find P (5> 2J ) ] f ] what is the probability that the combined time spent by Steve and John is more than 1 70 minutes [ That is, find P ( S+ J > 170 ) ]
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