Answer:
A. 0.537
Step-by-step explanation:
Number of people answering yes = 64
Number of people answering no = 70
Total number of people who answered = 64 + 70 = 134
Thus, the probability of answering yes = P(Y) = [tex]\frac{64}{134}[/tex] = 0.478
Further, out of 64 people answering yes, number of males = 6 and out of 70 people answering no, number of males = 8
We get, the probability of males answering yes = P(Y and M) = [tex]\frac{6}{134}[/tex] = 0.045
Since, total number of male = 6 + 8 = 14
Thus, the probability of males = P(M) = [tex]\frac{14}{134}[/tex] = 0.104
Now, as we have, P(Y or M) = P(Y) + P(M) - P(Y and M)
i.e. P(Y or M) = 0.478 + 0.104 - 0.045
i.e. P(Y or M) = 0.582 - 0.045
i.e. P(Y or M) = 0.537
Hence, the probability that the person answered yes or was a male is 0.537.
