Some like it hot! ~Michael is a food scientist at a large University in California. As part of his research, he set out to determine the temperature people prefer their coffee. After conducting experiments with 300 consumers, he found that the preferred drinking temperature of hot coffee is normally distributed with an average temperature of 60.1 degrees Celsius and a standard deviation of 8.3 degrees Celsius.Round all answers to four decimal places.1.Using the results of Michael's research, what proportion of people prefer coffee between 56.8 and 61.2 degrees Celsius?

2.Coffee with temperature higher than 79.4 degrees Celsius can cause scald burns. What proportion of consumers prefer their coffee hotter than this threshold?

3.Your instructor likes their coffee at 43.4 degrees Celsius or lower. What proportion of people agree with your instructor's preferred coffee temperature?

4.Your local coffee shop wants to serve coffee at the 64th percentile of the preferred temperature distribution. At what temperature should they serve their coffee?degrees