The average score on a standardized test is 750 points with a standard deviation of 50 points. what is the probability that a student scored more than 850 on the standardized test ?

The probability that student scored more than 850 we shall proceed as follows:
z=(x-μ)/σ
where:
x=850
μ=750
σ=50
thus
z=(850-750)/50
z=2
thus
P(x>850)=1-P(x<850)=1-P(z<2)=1-0.9772=0.0228

P(x>850)=0.0228

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