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Answer :
The percentag.e of female college runners between 114 - 138 pounds is 82%
What % of runners weigh 114 - 138 pounds?
Given that X is normally distributed with mean μ = 122 pounds and standard deviation σ = 8 pounds.
We want to find [tex]P(114 < X < 138)[/tex]
To get this, we will standardize X first:
[tex]P(114 < X < 138) = P((114 - 122)/8 < (X - 122)/8 < (138 - 122)/8)[/tex]
= P(-1 < Z < 2)
Using standard normal table, we find that probability of Z falling between -1 and 2 is:
= 0.8186
That means:
[tex]P(114 < X < 138)[/tex] = 0.8186
[tex]P(114 < X < 138)[/tex] = 81.86%
[tex]P(114 < X < 138)[/tex] = 82%
Missing options:
(A)18% (B) 32% (C) 68% (D) 82% (E)95%
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