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The percent of bags of cookies will contain between 60 and 68 cookies is 68.29%.
What is standard deviation?
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.
[tex]\mu[/tex]= 64, [tex]\sigma[/tex]= 4,
[tex]Z_1[/tex]= [tex]X_1[/tex] - [tex]\mu[/tex]/ [tex]\sigma[/tex]
= 60-64/4
= -1
again,
[tex]Z_2[/tex]= [tex]X_2[/tex] - [tex]\mu[/tex]/ [tex]\sigma[/tex]
= 68-64/4
= 1
Thus, P( 60<X<68)
= p(-1<Z<1)
= 0.6829
= 68.29%
Learn more about standard deviation here:
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