If X1,X2,X3,X4,X5 are independent and identicallydistributed exponential random variableswith the parameter , compute(a) P{min(X1, . . . ,X5) a};(b) P{max(X1, . . . ,X5) a}.

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