Total problem:
given the population of 5000 scores with mean = 86 and standard deviation = 10.
How many score are:
a. between 86 and 96?
B. between 96 and 106?
c. Below 56%
a.
P(86<X<96)=P(X<96)−P(X<86)=P(Z<1096−86)−P(Z<1086−86)=P(Z<1)−P(Z<0)=0.8413−0.5=0.3413N=0.3413×5000=1706.5
b.
P(96<X<106)=P(X<106)−P(X<96)=P(Z<10106−86)−P(Z<1096−86)=P(Z<2)−P(Z<1)=0.9772−0.8413=0.1359N=0.1359×5000=679.5
c. N=0.56×5000=2800
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