A fair quarter is flipped thre
A fair quarter is flipped three times. For each of the followingprobabilities, use the formula for the binomial distribution and acalculator to compute the requested probability. Next, look up theprobability in the binomial probability distribution table. (Enteryour answers to three decimal places.)
(a) Find the probability of getting exactly three heads.(b) Find the probability of getting exactly two heads.(c) Find the probability of getting two or more heads.(d) Find the probability of getting exactly three tails.
Answer:
(a)
Binomial Distribution
n = Total number of trials = 3
p = Probability of Head in a Single trial = 0.5
q = Probability of Tail in a Single trial = 0.5
So,
Answer is:
0.125
(b)
Binomial Distribution
n = Total number of trials = 3
p = Probability of Head in a Single trial = 0.5
q = Probability of Tail in a Single trial = 0.5
So,
Answer is:
0.375
(c)
Binomial Distribution
n = Total number of trials = 3
p = Probability of Head in a Single trial = 0.5
q = Probability of Tail in a Single trial = 0.5
P(X
2) = P(X=2)+P(X=3)
So,
P(X2) = 0.375 + 0.125= 5
Answer is:
0.5
(d)
Binomial Distribution
n = Total number of trials = 3
p = Probability of Head in a Single trial = 0.5
q = Probability of Tail in a Single trial = 0.5
So,
Answer is:
0.125
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