GRE scores are normally distributed with mean 500 and S.D. 100. Find the probability that a randomly selected GRE score is greater than 620. (Given that A(1.2)=0.3849)
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For normal distribution , P(x)=1/(sigmasqrt(2pi))e^(-(x-mu)^2/(2sigma^2))
The scores on standardised admissions test are normally distributed with a mean of 500500
Mean (μ)=500
standard deviation(σ)=100
Probability that score lies between 400 and 600 i.e, P(400
For standard normal distribution curve
Z=(x-μ)/σ
(400-500)/100<(x-μ)/σ<(600-500)/100
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