The number of parts produced by a worker in a day has a normal distribution. For Swift this distribution has a mean of 280 and a standard deviation of 10. For Lantier this distribution has a mean of 270 and a standard deviation of 20. Workers get a bonus when their production for the day exceeds 300 pieces. 1. Calculate the probability that Swift will make between 265 and 290 coins in one day. 2. Calculate the probability that Swift will produce less than 270 coins in a day. 3. Give an interval containing 95% probability for the daily production of Swift. 4. What percentage of days does Swift get the bonus? 5. What percentage of days does Lantier get the bonus? 6. Does the bonus encourage high and stable production? Justify your answer based on the two previous questions by comparing the average productions of the two workers and the frequency of their bonuses