assume that SAT scores are normally distributed with mean=1518 and standard deviation of 325 (based on data from the College Board). if 1SAT score is randomly selected, find the probability that it is...

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assume that SAT scores are normally distributed with mean=1518 and standard deviation of 325 (based on data from the College Board). if 1SAT score is randomly selected, find the probability that it is less than 1500

Answered Same DayDec 20, 2021

Answer To: assume that SAT scores are normally distributed with mean=1518 and standard deviation of 325 (based...

Robert answered on Dec 20 2021
126 Votes
P (X < 1500)
Normal Distribution, µ = 1518, σ = 325, P (X < 1500) = Area to the left of
1500
we convert this to standard normal using z = x− µ
σ
z = 1500 − (1518)325 ≈ −0.055385 ≈ −0.06
Z
0.4761
−0.06
0
P (X < 1500) = P (Z < −0.06) = 0.4761 (from z-table)
P (Z < −0.06): in a z-table...
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