Question

Lana surveyed 30 students. She asked for their favorite type of movie. Their responses are below

Answer 1

wheres the graph or info??

Answer 2

a. Experimental probabilities: Comedy
`(\((1)/(5)\))`, Drama
`(\((1)/(6)\))`, Action
`(\((1)/(2)\))`, Documentary
`(\((2)/(15)\))`. b. Predicted 10 students out of 60 would choose drama based on experimental probability.

a. Experimental probability is calculated by dividing the number of favorable outcomes by the total number of outcomes.

- Comedy:
`\( P(\text{Comedy}) = (6)/(30) = (1)/(5) \)`

- Drama:
`\( P(\text{Drama}) = (5)/(30) = (1)/(6) \)`

- Action:
`\( P(\text{Action}) = (15)/(30) = (1)/(2) \)`

- Documentary:
`\( P(\text{Documentary}) = (4)/(30) = (2)/(15) \)`

b. To predict how many students out of 60 would choose drama, multiply the probability of drama by the total number of students:

`\[ \text{Predicted Drama} = P(\text{Drama}) * \text{Total Students} \]\[ \text{Predicted Drama} = (1)/(6) * 60 = 10 \]`

Therefore, the prediction is that 10 students out of 60 would choose drama as their favorite type of movie.

The complete question is:

Lana surveyed 30 students. She asked for their favorite type of movie. Their responses are below.

movie type number of students

comedy 6

drama 5

action 15

documentary 4

a. Find the experimental probability a student will pick each of the four types of movies. b. Use the probability in part a to predict how many students out of 60 students would choose drama as their favorite type of movie.