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Homework Answers
(5)
B: Event of the at least once the outcome "heads" in three independent tosses of fair coin
A : Event of obtaining "heads" three times
Knowing that we obtained at least once the outcome "heads in three independent tosses of a fair coin,
Probability that we obtained "heads" three time = P(A|B)
P(A and B) = P((Heads three times ) and (at least one head) ) = P(Heads three times) = (1/2)x(1/2)x(1/2) =1/8
Event (Heads three times ) and (at least one head) can only happen when event all three heads happen
P(B) = Probability of at least one head = 1 -Probability of obtaining "tails" three times = 1-(1/2x1/2x1/2) =1-1/8=7/8
Knowing that we obtained at least once the outcome "heads in
three independent tosses of a fair coin, Probability that we
obtained "heads" three time = 
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If you do it right, I must give praise.
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This is discrete mathematics
If you do it right, I must give praise.
You must
use probability space is a triple relative
acknowledge.
S: is a
sample sapce
E=p(s) is
the set of all events
P:
E-->R is a function.
The important thing that I need to say three times:
If you don't know how to do it, please don't do
it.
don't copy others,
especially for question (a), give sample space, probability
measure
The important thing that I need...
I want help to solve this question
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1. Suppose you toss a fair coin 10 times, let X denote the number of heads. (a) What is the probability that X=5? (b) What is the probability that X greater or equal than 5? (c) If I want to make sure that the P(X<a) > 0.8, what is the minimum value of a? (a is an integer)
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