SOLUTION: What is the probability that students scored below 400 in a SAT Math test in which the student scores have a mean of 500 with a Standard Deviation of 100?

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Question 754541: What is the probability that students scored below 400
in a SAT Math test in which the student scores have a mean of 500 with a Standard Deviation of 100?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
What is the probability that students scored below 400
in a SAT Math test in which the student scores have a mean of 500 with a Standard Deviation of 100?
since we have the mean and standard deviation, we can calculate the associated z value for 400
z value = (400 - 500) / 100 = -100/100 = -1
we then consult the normal distribution for z values
P(x<400) = .1587 or 16%