Calculus and Above

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the line for a roller...

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)/1.97 3 < x 4.97

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

2)What is the value c such that P(X < c) = 0.79? Give your answer to four decimal places.

3)What is the probability that X falls within 0.3 minutes of its mean? Give your answer to four decimal places.

0 x < 3

F(x) = (x-3)/1.97 3 < x 4.97

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

2)What is the value c such that P(X < c) = 0.79? Give your answer to four decimal places.

3)What is the probability that X falls within 0.3 minutes of its mean? Give your answer to four decimal places.

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