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Mean and standard deviation for the distribution

1. The probability of being left handed is 10%. You will sample 10 people, what is the probability that you sample people and get exactly the following result: Persons 1, 2, and 3 are right handed, person 4 is left handed, persons 5, 6, 7, and 8 are right handed. The last 2 people sampled are left handed?

2. The probability of being left handed is 10%, what is the probability that you randomly sample 10 people and 3 out of the 10 are left handed in any order.

3. The probability of a random bike rider on campus not wearing their helmet is 80%. For 7 randomly selected people, what is the probability that exactly 4 will not be wearing their helmet in any order

4. The likelihood of having a pet is 30%. For 6 randomly chosen people, what is the likelihood that 2 or less of them have a pet in any order.

5. The probability of getting an A in Biom301 is 40%. You randomly sample groups of size 4. Create a frequency histogram showing the likelihood of getting every possible outcome that could occur (0 out of 4 people getting an A, 1 out of 4 getting an A, etc.). Use excel to create the frequency histogram. Copy and paste here.

6. For number 5 above, what is the mean and standard deviation for the distribution you have generated. Give units.

7. Describe how the graph you generated for number 4 above would change if the probability of an A was reduced to 20%. Describe how the shape of the graph would change.

8. For number 5 above, if the probability of getting an A suddenly changed to 60%, how would the shape of the graph change?

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## Q : Some of the risks in using samples

List some of the risks in using samples to make inferences about populations from which the samples were drawn. What can be done to mitigate these risks?