Franklin and Sue Ellen are bowling pals. They have different skill levels. In pa
ID: 3058399 • Letter: F
Question
Franklin and Sue Ellen are bowling pals. They have different skill levels. In particular, . Franklin's scores are normally distributed with a mean of F-110 and a variance of -75. ·Sue Ellen's scores are normally distributed with a mean of s-140 and a variance of = 60. Let XF be the random variable that denotes Franklin's score, and Xs the random (a) What is the distribution of X, the average of the two bowling scores? (Name (b) Based on the information you have at this point, can we say that Var(X) = (c) Assume that Franklin's and Sue Ellen's scores are independent. What is the variable that denotes Sue Ellen's score. Answer the questions below. the distribution and specify any parameters of the distribution.) of + , Justify your answer 4 probability that the sample average score of the group will be between 120 and 140 points? (d) Assume that Franklin's and Sue Ellen's scores are independent. What is the probability that both players bowl a score less than 135?Explanation / Answer
Franklin and Sue Ellen are bowling pals. They have different skill levels. In particular, . Franklin's scores are normally distributed with a mean of F-110 and a variance of -75. ·Sue Ellen's scores are normally distributed with a mean of s-140 and a variance of = 60. Let XF be the random variable that denotes Franklin's score, and Xs the random (a) What is the distribution of X, the average of the two bowling scores? (Name (b) Based on the information you have at this point, can we say that Var(X) = (c) Assume that Franklin's and Sue Ellen's scores are independent. What is the variable that denotes Sue Ellen's score. Answer the questions below. the distribution and specify any parameters of the distribution.) of + , Justify your answer 4 probability that the sample average score of the group will be between 120 and 140 points? (d) Assume that Franklin's and Sue Ellen's scores are independent. What is the probability that both players bowl a score less than 135?
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