Question

Mahnoor randomly selects times to walk into a local restaurant and observe the type of music being played. She found that the restaurant was playing country 111111 times, rock & roll 171717 times, and blues 888 times. Use the observed frequencies to create a probability model for the type of music the restaurant is playing the next time Mahnoor walks in. Input your answers as fractions or as decimals rounded to the nearest hundredth.

Answer 1

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

Answer 2

Outcome : A(Country) B(Rock & roll) C(blues)

Probability :
`(11)/(36)`
`(17)/(36)`
`(1)/(9)`

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 ,
`n(S)=11+17+8=36`

Then ,
`P(A)=(n(A))/(n(S))=(11)/(36)`

`P(B)=(n(B))/(n(S))=(17)/(36)`

`P(C)=(n(C))/(n(S))=(8)/(36)=(1)/(9)`

Now, the required probability model:-

Outcome : A(Country) B(Rock & roll) C(blues)

Probability :
`(11)/(36)`
`(17)/(36)`
`(1)/(9)`