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Distribution

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.

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.,
<br>P(mu - sigma < x < mu+sigma) =! 68%
<br>or
<br>P(mu - 2sigma < x < mu + 2 sigma) =! 95%
<br>Also the distribution may have some skewness.
<br>
<br>Binomial distribution is used when the probability of an event is not very small and the number of ...

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.

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