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) 0 0 010 EB >

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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 thh, then N (thh) = 2. Suppose
that the random variable X is defined in terms of N as follows: X=2N-N²-3. The values of X are given in the table below.
Outcome tht thh
Value of X-2 -3
Value X of X
P(X=x)
ett hth hht hhh tth htt
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.
Check
-3 -3 -3
-6 -2 -2
믐
X
M
S
31
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amin
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Transcribed Image Text: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 thh, then N (thh) = 2. Suppose that the random variable X is defined in terms of N as follows: X=2N-N²-3. The values of X are given in the table below. Outcome tht thh Value of X-2 -3 Value X of X P(X=x) ett hth hht hhh tth htt 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. Check -3 -3 -3 -6 -2 -2 믐 X M S 31 Save For Later 8 Submit Assignment 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Accessibility ? amin Sep
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