Calculate the probabilities P (X = x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value  x  of  X       P (X = x)

MATLAB: An Introduction with Applications
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An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc.

For each outcome, let N be the random variable counting the number of heads in each outcome. For example, if the outcome is ttt, then N (ttt) = 0. Suppose that the random variable X is defined in terms of N as follows:  X = 2N−2N2 - 1. The values of X are given in the table below.

 

Outcome
ttt
hht
tth
htt
hhh
tht
hth
thh
Value of 
X
−1
−5
−1
−1
−13
−1
−5
−5

 

Calculate the probabilities P (X = x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row.
Value 
x
 of 
X
 
 
 
P (X = x)
 
 
 
 
 
 
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