100922u - AGENDA Gamma distribution Exponential...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Sheet1 Page 1 AGENDA Gamma distribution Exponential distribution Beta distribution Weibull distribution Exam review Optional Homework Quiz GAMMA DISTRIBUTION GAMMA DISTRIBUTION GAMMA DISTRIBUTION EXPONENTIAL DISTRIBUTION Gamma distribution with alpha parameter=1 Related to random poisson processes Poisson distribution was number of observations in a given period of time Exponential distribution is the time between observations for a poisson process EXPONENTIAL DISTRIBUTION EXPONENTIAL DISTRIBUTION EXPONENTIAL DISTRIBUTION The exponential distribution function can be integrated and evaluated to obtain cumulative distribution function values EXAMPLE Trucks arrive randomly to a warehouse at an average rate of 3 per hour What is the probability that the interarrival time between trucks will be Less than 5 minutes? At least 45 minutes? EXAMPLE Solution Integrate the probability function using e^u du substitution F(x)=1-e^-(x/B) 3 per hour ---> B = 1/3 hour between arrivals Evaluate between 0 and 1/12 hour 1-e^(-(1/12)/(1/3)) 1-e^(-1/4)=0.221 Evaluate between 3/4 and infinity 1-(1-e^(-(3/4)/(1/3))) e^(-9/4)=0.105 BETA DISTRIBUTION Continuous random variable that is between 0 and 1 Frequently used in engineering project management
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Sheet1 Page 2 Probability that some task will be completed on time Parkinson} s law Student syndrome Parameters Alpha Beta BETA DISTRIBUTION BETA DISTRIBUTION WEIBULL DISTRIBUTION
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 5

100922u - AGENDA Gamma distribution Exponential...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online