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Suppose that the SAT scores for entering students at Monsters University are normally distributed with a...

Suppose that the SAT scores for entering students at Monsters University are normally distributed with a mean of 1440 and a standard deviation of 120. This university sets the minimum SAT score required for admission to be 1300. What is the probability that a student’s SAT score is above 1300?

Math   Statistics-And-Probability   
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Answer #1

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The normal distribution parameters are given as:

Mean, Mu = 1440
Stdev, Sigma = 120

To Standardize we will use the formula: Z = (X-Mean)/Stdev

To get the answer we must answer:

P(X>1300),

Standardizing using the formula: Z = (X-Mean)/Stdev

P(Z> (1300-1440)/120)

= P(Z> -1.1667)

=1- P(Z<=-1.667)

= 1- 0.1217 ( we used the Z table or you can also use the Excel formula NORMSDIST(z) to calculate this)

= 0.8783

Answer: 0.8783

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