MATI140-1 223 e. 2017 Name Q4. In the 4 × 100 medley relay event, four swimmers
ID: 3325493 • Letter: M
Question
MATI140-1 223 e. 2017 Name Q4. In the 4 × 100 medley relay event, four swimmers s win 100 yar using a different stroke. A college team preparing for the confe championship looks at the times their swimmers have posted ard normal model based with the following data in seconds) Swimmer 1 (backstroke) -| 50.72 | 0.24 2 (breaststroke) 55.51 0.22 3 (butterfly) Mean SD 49.43 0.25 44.91 0.21 4 (freestyle) 10+ 10-20 a) What are the mean and standard deviation for the relay team's TOTAL time in this event? The team's best time so far this season was 199.48 seconds.What i the probability that the team will swim faster than their best tim the conference championship? Explain. b)Explanation / Answer
here mean relay team's total time =50.72+55.51+49.43+44.91=200.57
and SD =(0.242+0.222+0.252+0.212)1/2 =0.461
b)
probability that team will swim faster than best time =P(X<199.48)=P(Z<(199.48-200.57)/0.461)
=P(Z<-2.3640)=0.0090
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