An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) w write hth, ttt, etc. For each outcome, let N be the random variable counting the number of tails in each outcome. Fo if the outcome is htt, then N (htt)=2. Suppose that the random variable X is defined in terms of follows: X=2N²-2N-4. The values of X are given in the table below. Outcome Value of X Value x of X tth hht hhh hth ttt htt tht 0 -4 -4 -4 8 0 Calculate the probabilities P(X=x) of the probability distribution of X. First, fill in the first row with values of X. Then fill in the appropriate probabilities in the second row. P(X=x) 0 0 0 0 thh - 4 X
An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) w write hth, ttt, etc. For each outcome, let N be the random variable counting the number of tails in each outcome. Fo if the outcome is htt, then N (htt)=2. Suppose that the random variable X is defined in terms of follows: X=2N²-2N-4. The values of X are given in the table below. Outcome Value of X Value x of X tth hht hhh hth ttt htt tht 0 -4 -4 -4 8 0 Calculate the probabilities P(X=x) of the probability distribution of X. First, fill in the first row with values of X. Then fill in the appropriate probabilities in the second row. P(X=x) 0 0 0 0 thh - 4 X
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" () and "tails" () which we write , , etc.
For each outcome, let be the random variable counting the number of tails in each outcome. For example, if the outcome is , then . Suppose that the random variable is defined in terms of as follows: . The values of are given in the table below.
Outcome
Value of
Calculate the probabilities of the probability distribution of . First, fill in the first row with the values of . Then fill in the appropriate probabilities in the second row.
Value of
Transcribed Image Text:An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) w
write hth, ttt, etc.
For each outcome, let N be the random variable counting the number of tails in each outcome. Fo
if the outcome is htt, then N (htt)=2. Suppose that the random variable X is defined in terms of
follows: X=2N² - 2N-4. The values of X are given in the table below.
Outcome
Value of X
Value x of
X
tth hht hhh hth ttt htt tht
0 -4 -4 -4 8
0
Calculate the probabilities P(X=x) of the probability distribution of X. First, fill in the first row with
values of X. Then fill in the appropriate probabilities in the second row.
P(X=x)
0
0
0 0
thh
- 4
X
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