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formula quiz 8

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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)  
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a discrete random variable   is a random variable which takes on only a finite or countable number of possible values  
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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)  
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a continous random variable x   takes all values in an interval of numbers  
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mean of a random variable is   x1p1+x2p2+xnpn  
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the variance of this random variable is   sigma (xi-mu)squared pi  
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the stanadrd deviation of this random variable is   the square root of the variance  
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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  
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rules for variances   var (a+x)=var(x), var(bx)=bsqauredvar(x)  
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var (x+y)=   var(x)+var(y)  
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var(x-y)=   var(x)+var(y)  
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law of large numbers   the difference between a sample proportion and a poporlation propoertion must gegt smaller as the sample size gets larger"  
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