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FQ8
formula quiz 8
| Question | Answer |
|---|---|
| random variable | is a variable whose value is a numerical outcome of a random phenomenon. there are two types of random variables (discrete and continous) |
| a discrete random variable | is a random variable which takes on only a finite or countable number of possible values |
| a probability distribution foa rv X | tell sus what the possible values of X are and how porbabilites are assigned to those values (also called probability function) |
| a continous random variable x | takes all values in an interval of numbers |
| mean of a random variable is | x1p1+x2p2+xnpn |
| the variance of this random variable is | sigma (xi-mu)squared pi |
| the stanadrd deviation of this random variable is | the square root of the variance |
| rules for means ( if x is a random variable and a and b are constants) | mua+x=a+mux, mubx=bmux, mua+bx=a+bmux, mux+y=mux+muy |
| rules for variances | var (a+x)=var(x), var(bx)=bsqauredvar(x) |
| var (x+y)= | var(x)+var(y) |
| var(x-y)= | var(x)+var(y) |
| law of large numbers | the difference between a sample proportion and a poporlation propoertion must gegt smaller as the sample size gets larger" |