Consider X represent time it takes from when someone enters line for the roller coaster until they exit on other side. Let probability model defined by cumulative distribution function given below.
0 x < 3
F(x) = (x-3)/1.45 3 < x < 4.45
1 x > 4.45
Find E(X)? Write the answer to 3 decimal places.
Find value c such that P(X < c) = 0.33? Write the answer to 4 decimal places
Find probability that X falls within 0.36 minutes of its mean? Write answer to 4 decimal places.