Answer:
Outcome : A(Country) B(Rock & roll) C(blues)
Probability : [tex]\dfrac{11}{36}[/tex] [tex]\dfrac{17}{36}[/tex] [tex]\dfrac{1}{9}[/tex]
Step-by-step explanation:
A probability model is a mathematical display of a random situation S contain various sets .
Let A be the event that they play a country music, B be the event that they play rock & roll and C be the event that they play blues.
Then , n (A) = 11, n(B)=17 and n(C)=8
Let S be the combined set of number of times music played in local restaurant.
Then , [tex]n(S)=11+17+8=36[/tex]
Then , [tex]P(A)=\dfrac{n(A)}{n(S)}=\dfrac{11}{36}[/tex]
[tex]P(B)=\dfrac{n(B)}{n(S)}=\dfrac{17}{36}[/tex]
[tex]P(C)=\dfrac{n(C)}{n(S)}=\dfrac{8}{36}=\dfrac{1}{9}[/tex]
Now, the required probability model:-
Outcome : A(Country) B(Rock & roll) C(blues)
Probability : [tex]\dfrac{11}{36}[/tex] [tex]\dfrac{17}{36}[/tex] [tex]\dfrac{1}{9}[/tex]
Answer:
country = 0.31
rock and roll =0.47
Blues = 0.22
Step-by-step explanation: Here we go :O
Let's put the count of each type of music from the sample into a table.
country = 11
Rock and roll= 17
blues = 8
Total = 36
We get the probabilities by dividing the frequencies by the total. (Remember to round to the nearest hundredth.)
11/36 = country
17/36 = rock and roll
8/36 = blues
Divide these
country = 0.31
rock and roll =0.47
Blues = 0.22
