Math SAT scores are Normally distributed with mean µ=500 and standard deviation σ=100 . The curve is displayed above. What perce ntage of the SAT Math scores are less than one standard deviation above the mean?
1 answer:
Answer:
Step-by-step explanation:
mean µ = 500
standard deviation σ = 100
Required P ( X < µ + σ )
= P ( X < 500 + 100 )
= P ( X < 600 )
= P [Z < (X - µ) / σ ]
= P [Z < (600 - 500) / 100 ]
= P [Z < + 1 ]
= .8413
In terms of percent the probability is 84.13 % .
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