subset of population = sample (n)
SRS = each subset of population has chance of being selected
RS = each individual of population has chance of being selected
Data:
Qualitative - characteristics
nomin
stat224: Intro Stats for Engineers (003)
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Relationship between Standard Normal and Normal RV
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If asked to compute normal probabilities:
convert X probabilities to Z probabilities
Use Table V (gives area from -i
Continuous Random Variable = RV that has an infinite number of
possible values that is not countable
example: length, depth, volume, time, weight
CRV described by probability density function (pdf) or
PMF: p(x) = P(X =x) = nCx*p^x*(1-p)^(n-x), x= 0 , 1 , 2 , n,
"put the individual back into the population" -> key phrase revealing
problem as Binomial
use PMF to describe the probability distribution
Mean of DRV
= = [x*p(x)]
Variance of DRV
= x^2*p(x) - ^2 OR (x - )^2*p(x) (using chart slide 28) ->
standard deviation is square root of this
Interpretation of the Mean (Law of Large Numbers)
As the n
Chapter 6:
Random variable (RV)
is any function that assigns one (and only one) numerical
value to each sample point
Discrete RV -> countable (finite or infinite number of possible
values)
examples: #
Box-and-Whiskers Plot
smallest data value that is larger than LIF (in usual range)
largest data value that is smaller than UIF (in usual range)
-essentially largest and smallest values within inner fe
If ? are independent events the P( limsup?) is either 0 or 1. It is of interest to determine when each of the cases occurs.
suppose P(An)<. Let B=cfw_: IAn()<. Show that P(B)=1.
n ?