Question

Math SAT scores are Normally distributed with mean µ=500 and standard deviation σ=100 . The curve is displayed above. What percentage of the SAT Math scores are less than one standard deviation above the mean?

Answer 1

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 % .