Question

Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 144 minutes with a standard deviation of 11 minutes. Consider 49 of the races.

Let X = the average of the 49 races.

part a. Give the distribution of X. (Round your standard deviation to two decimal places.)

part b. Find the probability that the average of the sample will be between 142 and 147 minutes in these 49 marathons. (Round your answer to four decimal places.)

part c. Find the 70th percentile for the average of these 49 marathons. (Round your answer to two decimal places.)

part d. Find the median of the average running times.

= min

Answer #1

Suppose that a category of world class runners are known to run
a marathon (26 miles) in an average of 144 minutes with a standard
deviation of 11 minutes. Consider 49 of the races.
Let
X
= the average of the 49 races.
Part (a)
Give the distribution of
X.
(Round your standard deviation to two decimal places.)
X
B. Find the probability that the runner will average between 142
and 147 minutes in these 49 marathons. (Round your answer...

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deviation of 15 minutes. Consider 49 of the races.
Let X = the average of the 49 races.
Part (a)
Give the distribution of X. (Round your standard deviation
to two decimal places.)
X ~ ( , )
Part (b)
Find the probability that the average of the sample will be
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Suppose that a category of world class runners are known to run
a marathon (26 miles) in an average of 149 minutes with a standard
deviation of 14 minutes. Consider 49 of the races.
Let
X
= the average of the 49 races.
Part (a)
Give the distribution of
X.
(Round your standard deviation to two decimal places.)
X
~
,
Part (b)
Find the probability that the average of the sample will be
between 148 and 151 minutes in...

1. Suppose that a category of world class runners are known to
run a marathon (26 miles) in an average of 145 minutes with a
standard deviation of 11 minutes. Consider 49 of the races.
Let X= the average of the 49 races.
Find the probability that the average of the sample will be
between 142 and 147 minutes in these 49 marathons. (Round your
answer to four decimal places.)
Find the 60th percentile for the average of these 49...

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standard deviation of 14 minutes. Consider 49 of the races.
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deviation to two decimal places.)
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II. Find the probability that the runner will average between
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