Question

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?

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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