Probability of people liking comedy movies = 1/6
Hence,
If total number of people are 90, then the number of people liking comedy movies = 90/6 = 15
If total number of people are 180, then the number of people liking comedy movies = 180/6 = 30
If total number of people are 270, then the number of people liking comedy movies = 270/6 = 45
If total number of people are 360, then the number of people liking comedy movies = 360/6 = 60
Let the x-axis represent the total number of people and,
The y-axis represent the number of people liking comedy films.
The function will be :-
f(x) = x/6 , where x is the total number of people.
The graph is attached.
Answer:
D. 6^-4 * 6^2
Step-by-step explanation:
= 6^-4 * 6^2
= 6 ^-2
= 1/6^2
= 1/36
Answer:
Explanation:
You can find the theoretical probability of the event "the sum of the numbers is at least 4".
The theoretical probability is:
- number of positive outcomes / number of possible outcomes.
<u>1. Number of positive outcomes.</u>
The number of positive outcomes is the amount of ways for which the sum of the numbers is at least 4.
Those are:
- Sum = 4: (1,3); (2,2), (3,1) → 3 ways
- Sum = 5: (1,4), (2,3), (3,2), (4,1) → 4 ways
- Sum = 6: (1,5), (2, 4), (3, 3), (4, 2), (5,1) → 5 ways
- Sum = 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) → 6 ways
- Sum = 8: (2,6), (3,5), (4,4), (3,5), (2,6) → 5 ways
- Sum = 9: (3,6), (4,5), (5,4), (6,3) → 4 ways
- Sum = 10: (4,6), (5,5), (6,4) → 3 ways
- Sum = 11: (5, 6), (6,5) → 2 ways
Thus, the total number of ways to have a sum of at least 4 is: 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 1 = 33.
<u>2. Number of possible outcomes</u>
The total number of possible outcomes is found by multiplying the ways each die can be rolled, this is: 6 × 6 = 36.
<u>3. Probability</u>
Then, the searched probability is 33/36 = 11/12 ≈ 0.92
You could expect about 1,248 students to play at least 4 hours every week.
Our tables have 100 students involved. All but 4 of the students are in the category of at least 4 hours. That is 96%.
Therefore, we simply need to multiply 0.96 by 1300 to get the estimated amount.
0.96 x 1300 = 1248
x + 15 = 24
subtract 15 from both sides
x = 24 - 15 = 9
