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3 years ago

SAT scores probability 1

Mathematics

1 answer:

fredd [130]3 years ago

6 0

Answer:

a. 81.5%

Step-by-step explanation:

The z-score for 400 is ...

Z = (X -μ)/σ = (400 -500)/100 = -1

The z-score for 700 is ...

Z = (700 -500)/100 = 2

The empirical rule tells you that 68% of the distribution is within ±1σ of the mean, and 95% is within ±2σ of the mean. Half of that first number is in the range Z = -1 to 0, and half that second number is in the range Z = 0 to +2. So, the probability you want is ...

(1/2)(68%) + (1/2)(95%) = 81.5% . . . . matches choice A

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SAT scores probability 1​

SAT scores probability 1