Medley In the 4 * 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...

Medley In the 4 * 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:

 ■ The swimmers’ performances are independent.

■ Each swimmer’s times follow a Normal model.

■ The means and standard deviations of the times (in seconds) are as shown:

a) What are the mean and standard deviation for the relay team’s total time in this event?

 b) The team’s best time so far this season was 3:19.48. (That’s 199.48 seconds.) Do you think the team is likely to swim faster than this at the conference championship? Explain.