Question: 3. All 28 students in the Data Management Math class must submit a project. The teacher randomly chooses 7 students to present. Knowing that three

3. All 28 students in the Data Management Math class must submit a project. The teacher randomly chooses 7 students to present. Knowing that three students have not completed their project.

a) what is the probability that these three students will be chosen?

b) what is the probability that at least one of them is chosen?

4. Consider the set of data that represents the minimum temperatures at different locations during a day. {9, 10, 8, 9, 10, 9, 10, 8, 7, 11, 9, 8, 12, 7}

a) Calculate the mean and the standard deviation.

b) Draw a histogram and a frequency polygon.

5. The probability of a business person cancelling their reservation at the Place des Pins hotel is about 10%. Knowing that the hotel has 56 reservations.

a) determine the probability that at least 10 business people will cancel their reservation.

b) Determine the probability that exactly 2 business people will cancel their reservation.

c) Determine the probability that 5 to 10 business people will cancel their reservation.

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