Question: Hi expert please answer all will do like immediately. Thank you Part I. Concept Check 1. What is a random variable? Make up your own

Hi expert please answer all will do like immediately. Thank you

Part I. Concept Check 1. What is a random variable? Make up your own example or two. 2. What is the probability distribution of a random variable? 3. True or false: knowing the distribution of a random variable is the same as knowing the probability mass function of a random variable. 4. What is a joint probability distribution? What is a marginal distribution? 5. Can we always find the marginal distribution if we know the joint distribution? 6. Can we always find the joint distribution if we know the marginal distributions? 7. How do we find the average outcome (expected value) and standard deviation? 8. True or false: if we have the distribution of a random variable, we can always find its average outcome and standard deviation. 9. Give an interpretation of the average outcome (expected value). 10. If you have the averages and the standard deviations for two random variables, can you tell which one is more predictable than the other? 11. Under what circumstances is a standard deviation equal to 0? 12. What is a cumulative probability? 13. What is a cumulative probability function? How is it interpreted

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