let x be a discrete random variable with variance 16 .then the variance of (x -5 )/16 is
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Answer:
A random variable (r.v.) is defined as a real number X connected with the outcome of a random experiment E. For example, if E consists of three tosses of a coin, we may consider random variable X which denotes the number of heads (0, 1, 2 or 3)
Outcome :
HHH
HTH
THH
THH
HTT
THT
TTH
TTT
Value of X :
3
2
2
2
1
1
1
0
Thus, to every outcome there corresponds a real number X(w). Since the points of the sample space corresponds to outcomes, this means that a real number, which we denote by X(w), is defined for each w∈S and let us denote them by w1, w2, ---,w8 i.e. X(w1) = 3, X(w2)=2---, X (w8 ) =0. Thus,, we define a random variable as a real valued function whose domain is the sample space associated with a random experiment and range is the real line. Generally it is denoted by capital letters X,Y, Z, --- etc
Step-by-step explanation:
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Answer:
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