question archive Use the following information to answer the matching questions below
Use the following information to answer the matching questions below
Subject:MathPrice:3.86 Bought5
Use the following information to answer the matching questions below.
The average price for a medium cup of coffee in Center Town is normally distributed with a mean of $1.97 and a standard deviation of $0.23.
You will need to reference the z-score tables as part of the process to answer this question:
Z-Score tables.pdf
Group of answer choices
What percent of cups of coffee sold were between $1.75 and $2.15?
[ Choose ]
61.4%
44.8%
84.1%
97.9%
What percent of cups of coffee were sold for greater than $1.50?
[ Choose ]
61.4%
44.8%
84.1%
97.9%
What percent of cups of coffee were sold for less than $2.20?
[ Choose ]
61.4%
44.8%
84.1%
97.9%
What percent of cups of coffee were sold for greater than $2.00?
[ Choose ]
61.4%
44.8%
84.1%
97.9%
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σ =$0.23
u=$1.97
What percent of cups of coffee sold were between $1.75 and $2.15?
z score =(X-μ)/σ
probability =P(1.75<X-u<215)
=P((1.75-1.97)/0.23) <Z<(2.15-1.97)/0.23)
=P(-0.9565<Z<0.7826)
=0.7831-0.1694
=0.61367
=61.4%
What percent of cups of coffee were sold for greater than $1.50?
probability =P(X-u>1.50)
=P(Z>(1.5-1.97)/0.23)
P(Z>-2.0435)=1-P(Z<-2.0435)
=1-0.0205
=0.9795
=97.95%
What percent of cups of coffee were sold for less than $2.20?
probability =P(X-u>1.50)
=P(Z<(2.2-1.97)/0.23)
=P(Z<1)
=0.8413
=84.13%
What percent of cups of coffee were sold for greater than $2.0?
probability =P(X-u>2)
=P(Z>(2-1.97)/0.23)
=P(Z>0.1304)=1-P(Z<0.1304)
=1-0.5519
=0.4481
=44.81%
