In the 4 X 100 medley relay event, four swimmers swim 100 yards, each using a different stroke. A college team preparing for the conference championship looks at the times their swimmers have posted and creates a model based on the following assumptions: i) the swimmers' performances are independent; ii) each swimmers' times follow a Normal model; and iii) the means and SDs of the times (in seconds) are as follows: Swimmer Mean SD Backstroke 48.22 .23 Breaststroke 47.56 .21 49.13 .20 Butterfly Freestyle 42.04 .18 a. What are the mean and standard deviation for the relay team's total time in this event? b. The team's best time this season was 3:07:03 (that's 187.03 seconds). Do you think the team is likely to swim faster than that at the conference championship? Explain. C. Why might the swimmers' performances in the conference championships not be independent? Explain