The Test score for a class are normally distributed . what is the the probability a student scored above 90. Given: µ = 75
Ơ = 10
We have a normal distribution, μ=75,σ=10,x=90.\mu=75, \sigma=10,x=90.μ=75,σ=10,x=90.
Let's convert it to the standard normal distribution,
z=x−μσ=90−7510=1.5;P(X>90)=P(Z>1.5)=1−P(Z<1.5)==1−0.9332=0.0668 (from z-table).z=\cfrac{x-\mu}{\sigma}=\cfrac{90-75}{10}=1.5; \\P(X>90)=P(Z>1.5)=1-P(Z<1.5)=\\ =1-0.9332=0.0668\text{ (from z-table)}.z=σx−μ=1090−75=1.5;P(X>90)=P(Z>1.5)=1−P(Z<1.5)==1−0.9332=0.0668 (from z-table).
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