a) What is E(X)? Give your answer to three decimal places.  b) What is the value c such that P(X < c) = 0.33? Give your answer to four decimal places.  c) What is the probability that X falls within 0.1 minutes of its mean? Give your answer to four decimal places

MATLAB: An Introduction with Applications
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Let X represent the time it takes from when someone enters the line for a roller coaster until they exit on the other side. Consider the probability model defined by the cumulative distribution function given below.



    0   x < 3
F(x) = (x-3)/1.41   3 < x < 4.41
    1   x > 4.41



a) What is E(X)? Give your answer to three decimal places. 

b) What is the value c such that P(X < c) = 0.33? Give your answer to four decimal places. 

c) What is the probability that X falls within 0.1 minutes of its mean? Give your answer to four decimal places 

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