Q1. A restaurant keeps track of each table's number of people (average 3; standard deviation 1) and the amount of the bill (average $60, standard deviation $12). If the number of people and amount of the bill are linearly associated with correlation 0.8, what is the predicted bill for a table of 5 people? Input your answer below, to the nearest cent. Make sure your answer is just a number and does not include the $ symbol or any text.

Q2. You need to estimate the proportion of American adults who want to be vaccinated against Covid-19. You plan to survey a random sample of American adults, and use the proportion of adults in your sample who want to be vaccinated as your estimate for the true proportion in the population. Your estimate must be within 0.04 of the true proportion, 95% of the time. Using the fact that the standard deviation of any dataset of 0's and 1's is no more than 0.5, calculate the minimum number of people you would need to survey. Input your answer below, as an integer.