Math  /  Data & Statistics

QuestionGRE scores follow a normal distribution with a mean of of 1000 and a standard deivation of 200. Suppose we choose a student at random.
What is the probability that the student scores between 900 and 1300?1300 ?

Studdy Solution
Calculate the probability that the score is between 900 and 1300 by subtracting the cumulative probability at z=0.5z = -0.5 from the cumulative probability at z=1.5z = 1.5:
P(900<X<1300)=P(z<1.5)P(z<0.5)=0.93320.3085=0.6247 P(900 < X < 1300) = P(z < 1.5) - P(z < -0.5) = 0.9332 - 0.3085 = 0.6247
The probability that a student scores between 900 and 1300 is:
0.6247 \boxed{0.6247}

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