A pollster would like to estimate the fraction p of people in a population who like cauliflower. How large must a random sample be in order to be at least 95% certain that the fraction of positive answers in the sample is within 0.019 of the true fraction p? Your answer should be a positive integer. (Example 4.11 in the textbook could be helpful.) The probability of a full house in a poker hand of 5 cards is approximately 0.00144. Use Poisson approximation to estimate the probability that out of 610 poker hands there will be exactly 3 full houses. Provide a numerical answer with precision up to 3 decimal places.