Problem 5. Give a p: the questions below. probability of heads or a) What subset E b) What subset F c) What is the prc d) Give the condit. e) Give the condit

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Problem 5. Give a probability model appropriate for the experiment "flip a coin 4 times" and for
the questions below. Assume flips are independent, and the coin is biased in such a way that the
probability of heads on one flip is 3/5.
a) What subset E corresponds to the event "the number of heads is even"?
b) What subset F corresponds to the event "at least two consecutive heads"?
c) What is the probability of E? What is the probability of F?
d) Give the conditional probabilities for the conditioning event E.
e) Give the conditional probabilities for the conditioning event F.
f) What is the conditional probability of the event F conditional on E?
Transcribed Image Text:Problem 5. Give a probability model appropriate for the experiment "flip a coin 4 times" and for the questions below. Assume flips are independent, and the coin is biased in such a way that the probability of heads on one flip is 3/5. a) What subset E corresponds to the event "the number of heads is even"? b) What subset F corresponds to the event "at least two consecutive heads"? c) What is the probability of E? What is the probability of F? d) Give the conditional probabilities for the conditioning event E. e) Give the conditional probabilities for the conditioning event F. f) What is the conditional probability of the event F conditional on E?
Jom obe
nldesie al
Tol lobom oldenoacoT lobem
eord on esitilidadonq lantgianm
GAC
g) Is E independent of F?
Transcribed Image Text:Jom obe nldesie al Tol lobom oldenoacoT lobem eord on esitilidadonq lantgianm GAC g) Is E independent of F?
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