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lekylawhite16
04.12.2020 •
Mathematics
If someone could actually help that would be nice lolz :)
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Ответ:
81.82%
Step-by-step explanation:
First we need to convert the X score to Z score using the formula;
Z = X-µ/σ
If X = 225.76
Z = 225.76-256.43/27.11
Z = -30.67/27.11
Z = -1.1313
Similarly if X = 300.35
Z = 300.35-256.43/27.11
Z = 43.92/27.11
Z = 1.6201
Hence the required z score is P(-1.1313 ≤ Z ≤ 1.6201)
Checking the normal distribution table;
P( Z ≤ 1.6201) = 0.9474 = 94.74%
P(Z ≤ -1.1313) = 0.1292 = 12.92%
P(-1.1313 ≤ Z ≤ 1.6201) = 94.74 - 12.92
P(-1.1313 ≤ Z ≤ 1.6201) = 81.82%