CAnd That Most Of The U Sto × x(G Chegg Study l Guided Solutio),G %Hw rno sect,
ID: 3041334 • Letter: C
Question
CAnd That Most Of The U Sto × x(G Chegg Study l Guided Solutio),G %Hw rno sect, 61, 62 troon) c o o Not Secure of her race Terri Vogel, an a racer, averages 129.71 seconds per 2.5 mile lap (in a seven-lap race) with a standard deviation of 2.28 seconds. The s normally distributed. We are interested in one of her randomly selected laps. Part (a) -· the distance (in miles)ofeach race D the distance (n miles) of each lap O the time (in seconds) per lap Part (b) Part (c) 1 seconds. (Round your answer to two decimal places.) 7157 x% Part (d) 133 99 sec Part (e)Explanation / Answer
Ans:
c)
z=(131-129.71)/2.28=0.565789
P(z<0.5658)=0.7142
71.42%
d)Fastest means which takes lesser time,so we have to find the x below which 3% of least times falls
P(Z<=z)=0.03
z=normsinv(0.03)=-1.881
x=129.71-1.881*2.28=125.42
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