If X is an exponential random variable withparameter = 1, compute the probability densityfunction of the random variable Y defined byY = logX.
Color Coding: Topics MINITAB Examples STT 351 Notes Normal −1 2 f x = 1 e 2 x ( ) 2Π inf < x < inf √ To find probabilities between two points (a,b] we have to integrate this function between a,b. Using MINITAB: 1) Calc 2) Probability distribution 3) Normal (mean = 0, Standard deviation = 1) 4) Select cumulative probability This will give the area under the curve up to the point x For any a value, the area under the curve up to the point a is = P(X ≤ a) # If we want to find the area under the curve between two points we can use the equation….. P( a < X ≤ b ) = P( X ≤ b ) – P( X ≤ a ) Using MINITAB: To find
