Poisson Question
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 This topic has 13 replies, 8 voices, and was last updated 17 years, 4 months ago by Iain Hastings.

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April 7, 2005 at 11:49 pm #38958
Can some one help me?
email me the answer if you know, [email protected]
A sales person sells, on average 12PC system per week. Use the Possion distrbution to estimate the probability that during a given week the person will sell.
b) 12 systems0April 7, 2005 at 11:53 pm #117402for question b) I meant at least 12 systems
question a) is exactly 12 systems, but I know the answer for that.0April 8, 2005 at 12:15 am #117403a. 0.114367916
b.0.575965249
0April 8, 2005 at 12:31 am #117405Thank you, but how did you find that out?????
0April 8, 2005 at 5:00 am #117410How did you know the answer to exactly 12?
0April 8, 2005 at 5:35 am #1174110
6.14421E06
6.14421E061
7.98748E05
7.37305E052
0.000522258
0.0004423833
0.002291791
0.0017695334
0.007600391
0.0053085995
0.020341029
0.0127406396
0.045822307
0.0254812777
0.089504497
0.043682198
0.155027782
0.0655232859
0.242392162
0.0873643810
0.347229418
0.10483725611
0.461597333
0.11436791612
0.575965249
0.11436791613
0.681535632
0.10557038414
0.772024532
0.090488915
0.844415652
0.0723911216
0.898708993
0.0542933417
0.937033703
0.03832471118
0.96258351
0.02554980719
0.978720231
0.0161367220
0.988402263
0.00968203221
0.993934853
0.0055325922
0.996952629
0.00301777623
0.998527121
0.00157449224
0.999314367
0.00078724625
0.999692245
0.0003778780April 8, 2005 at 9:11 am #117414Answer for b) is it 0.57 or 0.538?
vp0April 8, 2005 at 9:57 am #117415
Marc ThysParticipant@MarcThys Include @MarcThys in your post and this person will
be notified via email.Stan
Shouldn’t b) be 0.424, ie 10.576 ?0April 8, 2005 at 10:13 am #117416
Joseph BanerjeeParticipant@JosephBanerjee Include @JosephBanerjee in your post and this person will
be notified via email.The formulae for getting the probaility for poisson distribution .The distribution function for the Poisson distribution is f(x) = exp(1*lambda) lambda^x / x!
0April 8, 2005 at 11:31 am #117418You are right – I need to learn to read the question.
0April 8, 2005 at 11:33 am #117419Actually no. VP is right, it’s 1 – p(11 or less)
0April 8, 2005 at 12:34 pm #117425
Ken FeldmanParticipant@Darth Include @Darth in your post and this person will
be notified via email.Too late, I think the due date for him to turn in his homework has passed.
0April 8, 2005 at 12:51 pm #117427
HemanthParticipant@Hemanth Include @Hemanth in your post and this person will
be notified via email.Very simple! For a Poisson Distribution, the probability of an event occuring (say x) is
e minus lambda * Lambda power n divided by factorial n
In this question, the probability of getting an average sale of more than 12 is 1 – prob of getting a sale = 0,1,2,3,4,….. 12
Find P(0), P(1), P(2) ……. P(12) from the above formula and add them together. You would get a value of: 0.5759
Now the prob of x>12 is 1 – P(x<=12) = 10.5759 = 0.4240
0April 8, 2005 at 1:14 pm #117429
Iain HastingsParticipant@IainHastings Include @IainHastings in your post and this person will
be notified via email.Except that the question is “at least 12 systems”. So it is P(x<=11)
So it is as previously posted (after Stan reread the question).
ie 10.4616 = 0.5380 
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