Exponential Probabilities Find the probability P(x ≤ x0), where x is an exponentially distributed random variable Click Insert Function (fx) Select Statistical as your function category Choose EXPON.DIST 1 2

Exponential Probabilities You must enter X = The value of the exponential distribution for which you would like the cumulative probability P(x ≤ X). Lambda = 1/The mean of the exponential distribution. Cumulative = True if you want P(x ≤ X). = False if you want the height of the curve at x. Use if you would like to graph the function (not used much in this class).

Exponential Probabilities Example: A certain manufacturer's bicycle pedal sealed-bearing set's lifetime is exponentially distributed with a mean of 5 years. What is the probability that a sealed-bearing set lasts less than 5 years? You must enter X = 5, since you want P(x < 5). Lambda = 1/5 = 0.2. Cumulative = True since you want P(x < 5). Answer: P(x < 5) = .6321