5. A coin is tossed two times. This coin is biased so that the probability of getting heads is 0.75. What is the probability that in two tosses you get exactly one head? a) 0.5625 b) 0.1875 c) 0.3750

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5. A coin is tossed two times. This coin is biased so that the probability of getting heads is 0.75.
What is the probability that in two tosses you get exactly one head?
a) 0.5625
b) 0.1875
c) 0.3750
d) 0.0625
6. Given the density function:
f(x) = {201
(2(1-x),
0 ≤ x ≤ 1,
elsewhere.
Transcribed Image Text:5. A coin is tossed two times. This coin is biased so that the probability of getting heads is 0.75. What is the probability that in two tosses you get exactly one head? a) 0.5625 b) 0.1875 c) 0.3750 d) 0.0625 6. Given the density function: f(x) = {201 (2(1-x), 0 ≤ x ≤ 1, elsewhere.
Expert Solution
Step 1

Answer: - Given, A coin is tossed two times.

                Then sample space S = {HH, TT, HT, TH}

                P(H) = 0.75,  then P(T) = 1 - P(H) = 1 - 0.75

                                             P(T) = 0.25

                Where, H = Head  and T = tail

               Find the probability that in two tosses you get exactly one head?

    

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