poissexamp

poissexamp - More Examples, Poisson Distribution Example 1...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
More Examples, Poisson Distribution Example 1 Suppose that the number X of tornados observed in a particular region during a one-year period has a Poisson distribution with ¸ = 8 . a. Compute P ( X · 5) , P (6 · X · 9) , and P (10 · X ) . Solution The desired probabilities are: P ( X · 5) = 5 X x =0 exp( ¡ 8)8 x x ! = 0 : 1912 P (6 · X · 9) = 9 X x =6 exp( ¡ 8)8 x x ! = 0 : 5254 P (10 · X ) = 1 X x =10 exp( ¡ 8)8 x x ! = 0 : 2834 : b. How many tornados can be expected to be observed during the one-year period and what is the standard deviation of the number of observed tornados? Solution E ( X ) = ¸ = 8 , ¾ X = p ¸ = p 8 = 2 : 8284 : Example 2 Consider writing onto a computer disk and then sending it through a certi…er that counts the number of missing pulses. Suppose this number X has a Poisson distribution with ¸ = 0 : 2 . a. What is the probability that a disk has exactly one missing pulse? Solution P ( X = 1) = exp( ¡ 0 : 2)0 : 2 1 1! = 0
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 3

poissexamp - More Examples, Poisson Distribution Example 1...

This preview shows document pages 1 - 2. Sign up to view the full document.

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