probability distribution chap 3 and 4

# probability distribution chap 3 and 4 - 0.131 binomialchart...

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0.131 binomial chart x P(x) n=7 0 0.002 p=.6 1 0.017 q=1-p=.4 2 0.077 3 0.194 4 0.290 5 0.261 6 0.131 7 0.028 p(4) 0.29 probability of exatly 4 p(at leaset 3) 0.904 p(less than 3) 0.096 sum of at least and less than3 1.000 mean=n*p= 4.2 variance=n*p*q 1.68 stdev= sqrt(variance) 1.296 0 0.000 0.050 0.100 0.150 0.200 0.250 0.300 0.350

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1 2 3 4 5 6 7 Column B
pg216 #15 this your true this is your false n=5 p=1/4=.25 q=.75 n/total x P(x) 0 0.237 1 0.396 2 0.264 3 0.088 4 0.015 5 0.001 1 p(exactly 3) 0.09 P(at least 3) 0.104 P(less than 3) 0.896 1.000 mean=n*p= 1.25 variance=n*p*q 0.938 stdev= sqrt(variance) 0.968 0 0.000 0.050 0.100 0.150 0.200 0.250 0.300 0.350 0.400 0.450

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1 2 3 4 5 Column B
pg216 #17 n=10 p=.59 q=1-p=> 0.41 x P(x) 0 0.000 1 0.002 2 0.013 3 0.048 4 0.121 5 0.209 6 0.250 7 0.206 8 0.111 9 0.036 10 0.005 1.000 sum p(exactly 8) 0.11 P(at least 8) 0.152 P(less than 8) 0.848 1.000 sum mean=n*p= 5.9 variance=n*p*q 2.42 stdev= sqrt(variance) 1.56

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0 1 2 3 4 5 6 7 8 9 10 0.000 0.050 0.100 0.150 0.200 0.250 0.300 Column B
powerpoint lecture for poisson x p(x) 0 0.0183 1 0.0733 P(exactly 3) 0.2 2 0.1465 P(at most 3) 0.4335 =P(0)+P(1)+p(2)+p(3) 3 0.1954 p(more than 3) 0.5665 =1-P(at most 3) 4 0.1954 5 0.1563 0.5665 6 0.1042 7 0.0595 8 0.0298 9 0.0132 10 0.0053 11 0.0019 12 0.0006 13 0.0002 14 0.0001 1.0000

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) 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0.0000 0.0500 0.1000 0.1500 0.2000 0.2500 Column B
pg227 problem23 problem 24 n=.6

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