Difference between revisions of "TDSM 5.7"
From The Data Science Design Manual Wikia
(Created page with "a. (1-47.1%)*(1-47.1%)*47.1%=0.1318051 b. 47.1%*47.1%*47.1%=0.1044871 c. According to geometric distribution, p=47.1% μ=1/p=2.123142 stand...") |
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μ=1/p=2.123142 | μ=1/p=2.123142 | ||
| − | + | Variance=(1-p)/p*p=2.38459077, so standard deviation=1.544212 | |
d. p=30% | d. p=30% | ||
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μ=1/p=3.3333 | μ=1/p=3.3333 | ||
| − | + | Variance=(1-p)/p*p=7.77777778, so standard deviation=2.788867 | |
e. As we can see from (c) and (d), there is an inverse relationship between the probability and the expected wait time until success (or mean). This makes intuitive sense: the less likely something is to be a success, the longer you have to wait, or the more trials that will be necessary before success. | e. As we can see from (c) and (d), there is an inverse relationship between the probability and the expected wait time until success (or mean). This makes intuitive sense: the less likely something is to be a success, the longer you have to wait, or the more trials that will be necessary before success. | ||
Latest revision as of 23:23, 10 December 2017
a. (1-47.1%)*(1-47.1%)*47.1%=0.1318051
b. 47.1%*47.1%*47.1%=0.1044871
c. According to geometric distribution,
p=47.1%
μ=1/p=2.123142
Variance=(1-p)/p*p=2.38459077, so standard deviation=1.544212
d. p=30%
μ=1/p=3.3333
Variance=(1-p)/p*p=7.77777778, so standard deviation=2.788867
e. As we can see from (c) and (d), there is an inverse relationship between the probability and the expected wait time until success (or mean). This makes intuitive sense: the less likely something is to be a success, the longer you have to wait, or the more trials that will be necessary before success.
