problems 6 - 8 . Show Work Consider flipping one fair coin (probability of getti
ID: 3219795 • Letter: P
Question
problems 6 - 8 . Show Work
Consider flipping one fair coin (probability of getting a head or a tail is the same for each flip) 3 times in a row, so for each trial you will flip the coin three time in a row, recording the three outcomes.
(2 pts) List the eight possible outcomes for these trials:
ANSWER FOR #6
3
Total # outcomes 2 = 8
{ HHH, HTH, THH, HHT, TTH, THT, HTT, TTT}
7. If each of these outcome is equally likely, construct a probability model listing the distribution for the number of Tails in the trials. List the possible outcomes for this distribution and their associated probabilities.
8. Let M be the number of Tails in any trial. What is the probability that M > 2 ?
Explanation / Answer
#6
Total # outcomes 2 = 8
{ HHH, HTH, THH, HHT, TTH, THT, HTT, TTT}
#7 Possible number of T's are 0, 1, 2 or 3.
X Outcomes P(X)
0 HHH 1/8
1 HTH, THH, HHT 3/8
2 TTH, THT, HTT 3/8
3 TTT 1/8
#8 P(M>2) = P(M=3) = 1/8
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