Answer:
The percentage of homes will have a monthly utility bill of more than $87
P(X>87) = 0.8413 X 100 = 84.13%
Step-by-step explanation:
<u><em>Explanation:-</em></u>
<em>Given Mean of the Population =97</em>
<em>Standard deviation of the Population = 10</em>
<em>Let 'X' be the random variable in normal distribution</em>
Z= -1
<em>The probability that homes will have a monthly utility bill of more than $87</em>
<em>P(X>87) = P( Z>-1) = 0.5 + A(-1)</em>
= 0.5 + A(1) (∵A(-1)=A(1)
=0.5 + 0.3413
= 0.8413
<em>The percentage of homes will have a monthly utility bill of more than $87</em>
<em> P(X>87) = 0.8413 X 100 = 84.13%</em>