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Eddi Din [679]
3 years ago
9

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?
Mathematics
1 answer:
pentagon [3]3 years ago
6 0

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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