Question

conduct an experiment in which you have to flip a coin three times. after doing that, Compile the results & submit a report consisting of the following topics....

1. state sample space.

2. find out probability of getting exactly 2 heads. make sure you state that event space.

3. find the probability of getting at least 2 heads. make sure you stay there.

4.Find the probability of giving an odd number of heads. make sure you state the event space.

5. find the probability of getting all heads or all tails. make sure you state the event space.

6. find the probability of getting exactly to head or exactly 2 tails.

Answer 1

This is a binomial distribution question with
n = 3
p = 0.5
q = 1 - p = 0.5
where

1) Sample space = {HHH, HHT, HTH, HTT, TTH, THT, THH, TTT}


4) P(odd number of head) = P(heads = 1) + P(heads = 3)


P(odd number of heads) = P(X = 1) + P(X = 3)
P(odd number of heads) = 0.375 + 0.125
P(odd number of heads) = 0.5

5) P(all heads or all tails) = P(heads = 3) + P(heads = 0)


P(all heads or all tails) = P(X = 3) + P(X = 0)
P(all heads or all tails) = 0.375 + 0.125
P(all heads or all tails) = 0.5

6) P(Exactly two heads or exactly 2 tails) = P(heads = 2) + P(heads = 1)


P(Exactly two heads or exactly 2 tails) = P(X = 2) + P(X = 1)
P(Exactly two heads or exactly 2 tails) = 0.375 + 0.375
P(Exactly two heads or exactly 2 tails) = 0.750

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