Solution-What are the mean and standard deviation for the

What are the mean and standard deviation for the relay

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Reference no: EM132843652

In the 4 x 100 medley relay event, four swimmers swim 100 yards, each using a different stroke. The swim team for the USA Olympic team is preparing for the gold medal round and 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:

Swimmer Mean SD

1 backstroke 50.72 0.24

2 breaststroke 55.21 0.22

3 butterfly 48.43 0.25

4 freestyle. 44.91 0.21

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

b) The Olympic record so far was 3:19.48. (That's 199.48 seconds) Do you think the team is likely to swim faster than this at the Olympics? Show your work and explain.

Reference no: EM132843652

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What are the mean and standard deviation for the relay

Reference no: EM132843652

Reference no: EM132843652

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