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The average middle-distance runner at a local high school runs the mile in 4.5 minutes, with astandard deviation of 0.3 minute....Question
The average middle-distance runner at a local high school runs the mile in 4.5 minutes, with astandard deviation of 0.3 minute. What is the probability that a runner will run the mile in less than 4 minutes?
Possible Answers:
A)7%B)3%C)5%D)4%
I know it's C, but I don't know how to get it.
Can someone please show me a step by step solution, please. I am completely lost.
Possible Answers:
A)7%B)3%C)5%D)4%
I know it's C, but I don't know how to get it.
Can someone please show me a step by step solution, please. I am completely lost.
Answers
scott
4 min is .5 min below the mean ... 1.667 standard deviations
-1.667 is called the z-score
a z-score table will show the fraction of the population at or below this point
the table actually shows about 4.8%
-1.667 is called the z-score
a z-score table will show the fraction of the population at or below this point
the table actually shows about 4.8%
Reiny
Best normal distribution applet on line:
http://davidmlane.com/normal.html
enter:
mean : 4.5
SD : 0.5
click on below, enter 4 to get .047799..
or 4.8% as Scott stated.
http://davidmlane.com/normal.html
enter:
mean : 4.5
SD : 0.5
click on below, enter 4 to get .047799..
or 4.8% as Scott stated.