MAT 211 Continuous Random Variables, Probability Density Functions, Mean, Varian

Question

MAT 211 Continuous Random Variables, Probability Density Functions, Mean, Variance, Standard Deviation The table below shows the number of students in the 2012 graduating class of Kenmore High School whose GPA is in a certain range. Use it to construct a probability distribution for the data and determine the probability that a student chosen at random from the class has a GPA less than 2.000. 1. 0-999 1.000-1.999 2.000-2.9993.000-4.000 GPA # of students 150 250 350 100 2. Given the continuous probability density funton 2sx s8, find a. P(x

Explanation / Answer

1)

total number of students = 150 + 250 + 350 + 100 = 850

P(0-.999) = 150/850 = 0.1765

P(1.0 -1.999) = 250/850 = 0.2941

P(2.0-2.999) = 350/850 = 0.4118

P(3.0-4.0) = 100/850 = 0.1177

P(X<2.0) = 15/85 + 25/85 = 8/17 = 0.4706

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