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Suppose an NBA basketball player attempts 10 free throw shots and the number of shots he made (successfully) is recorded. Explain how this might be

Suppose an NBA basketball player attempts 10 free throw shots and the number of shots he made (successfully) is recorded. Explain how this might be treated as a discrete random variable.

2. A 50/50 raffle at a high school volleyball game sells 425 tickets for $2 each. Half of the proceeds go to the booster club and the other half go to one lucky winner whose ticket number is drawn. Below is the discrete probability distribution where x = profit of one ticket. Find and interpret the expected value.

Outcome Profit Probability
Win 423 1 out of 425
Lose -2 424 out of 425

3. A Boeing 737 is outfitted with 110 main cabin seats. Since only 92.8% of passengers show up for flights, the airline overbooks the section with 118 passengers. Use a binomial distribution to determine the probability of the main cabin being under capacity with X<110, full to capacity with X=110, and over capacity with X>110.

4. Explain how using a contingency table to determine dependence of events could be used to observe inequity or social injustice in a dataset.

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