Respuesta :
Answer:
The probability that a male chosen at random watches drama is 0.1333.
Step-by-step explanation:
The complete question is:
A survey asked 30 people what their favorite genre of television broadcasting was, and the results were tabulated above. Find the probability that a male chosen at random watches drama.
Male Female Total
Sports 8 3 11
Drama 2 6 8
Comedy 5 6 11
Total 15 15 30
Solution:
The conditional probability of an event A give that another event B has already occurred is:
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{n(A\cap B)}{n(B)}[/tex]
Denote the events as follows:
M = a male was selected
D = a person's favorite genre is drama
The number of males in the survey is, n (M) = 15.
The number of males in the survey who watches drama is, n (M ∩ D) = 2.
Compute the probability that a male chosen at random watches drama as follows:
[tex]P(D|M)=\frac{n(M\cap D)}{n(M)}=\frac{2}{15}=0.133[/tex]
Thus, the probability that a male chosen at random watches drama is 0.1333.
Otras preguntas
