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This table shows the time it takes students in Homeroom 203 to get to school each morning: 1 Time Less than 10 min 10-19 min 20-29 min 30-39 min 40-49 min 50 min or more Find the experimental probability of a student in this homeroom taking a certain number of minutes to get to school. Make a probability distribution for this data. Number of Students 3, 5, 10, 7, 2, 3​

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Answer:

Explanation:

To find the experimental probability of a student in Homeroom 203 taking a certain number of minutes to get to school, we need to divide the number of students who take that amount of time by the total number of students in the homeroom.

The total number of students in the homeroom is:

3 + 5 + 10 + 7 + 2 + 3 = 30

The probability of a student taking less than 10 minutes to get to school is:

3/30 = 0.1 or 10%

The probability of a student taking 10-19 minutes to get to school is:

5/30 = 0.166 or 16.6%

The probability of a student taking 20-29 minutes to get to school is:

10/30 = 0.333 or 33.3%

The probability of a student taking 30-39 minutes to get to school is:

7/30 = 0.233 or 23.3%

The probability of a student taking 40-49 minutes to get to school is:

2/30 = 0.066 or 6.6%

The probability of a student taking 50 minutes or more to get to school is:

3/30 = 0.1 or 10%

To make a probability distribution, we can list the possible outcomes (in this case, the time it takes to get to school) and their corresponding probabilities:

Time (min) Probability

Less than 10 0.1

10-19 0.166

20-29 0.333

30-39 0.233

40-49 0.066

50 or more 0.1

Note that the probabilities add up to 1, which is what we expect for a probability distribution.

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