# Distribution

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How do I know which distribution to use for the following and when/where do tables apply?:

Nonstandard Normal

Binomial

Normal

Standard normal

Central limit theorem

a) Mean is 0, stand. dev. is 0 degrees C., find P between 0.05 and 1.50

b)Mean is 63.6 and s.d. is 2.5; Club had requirement that women must be 70 inches tall-what % meets that?

c)Find the P35 separating top 35 from bottom 65% with mean = 143 and sd. of 29

d) Mean = 143, sd = 13; if 1 woamn randomly selected, find P weight between 143 and 150

e) If 100 women randomly selected, find P they have a mean weight greater than 140 pounds.

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##### Solution Summary

The solution discusses which distribution to use for the following and when/where do tables apply:

Nonstandard Normal

Binomial

Normal

Standard normal

Central limit theorem

a) Mean is 0, stand. dev. is 0 degrees C., find P between 0.05 and 1.50

b)Mean is 63.6 and s.d. is 2.5; Club had requirement that women must be 70 inches tall-what % meets that?

c)Find the P35 separating top 35 from bottom 65% with mean = 143 and sd. of 29

d) Mean = 143, sd = 13; if 1 woamn randomly selected, find P weight between 143 and 150

e) If 100 women randomly selected, find P they have a mean weight greater than 140 pounds.

##### Solution Preview

Nonstandard Normal: This type of distribution is applicable specifically when the sample size is small and the you are given that the data are not Guassian/Normal distributed. i.e.,

P(mu - sigma < x < mu+sigma) =! 68%

or

P(mu - 2sigma < x < mu + 2 sigma) =! 95%

Also the distribution may have some skewness.

Binomial distribution is used when the probability of an event is ...

###### Education

- BEng, Allahabad University, India
- MSc , Pune University, India
- PhD (IP), Pune University, India

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