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Sagot :
First, let's calculate the z-score corresponding to x = 59 and x = 179, using the formula below:
[tex]\begin{gathered} z_1=\frac{59-119}{20}=\frac{-60}{20}=-3\\ \\ z_2=\frac{179-119}{20}=\frac{60}{20}=3 \end{gathered}[/tex]Now, let's look at the z-table for the probability corresponding to each value of z.
for z = -3, we have a probability of 0.0013.
For z = 3, we have a probability of 0.9987.
Calculating the interval between these values, we have:
[tex]P=0.9987-0.0013=0.9974=99.74\%[/tex]
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