Hi i need help with these questions. Thank you.

When asked:"What is the distribution of X or X ? X or X - N(,_ )." This notation is referring to N, a normal distribution, with the mean given in the first space and the standard deviation in the second space. Remember that the standard deviation of the sample means is different from the population standard deviation. The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 5.5 ounces. 32 randomly selected people are surveyed. Round z-scores to 2 decimal places for use in calculations. Round probability answers to 4 where possible. Round quartiles to 1 decimal place. a. What is the distribution of X? X - NO b. What is the distribution of X? X - N c. What is the probability that one randomly selected person drinks between 16.8 and 17.1 ounces of coffee per day? d. For the 32 people, find the probability that the average coffee consumption is between 16.8 and 17.1 ounces of coffee per day. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes f. Find the IQR for the average of 32 coffee drinkers. Q1 = ounces Q3 : ounces IQR: ounces The amount of syrup that people put on their pancakes is normally distributed with mean 59 mL and standard deviation 10 mL. Suppose that 10 randomly selected people are observed pouring syrup on their pancakes. Round z-scores to 2 decimal places for use in calculations. Round all other answers to 4 where possible. a. What is the distribution of X? X - b. What is the distribution of ? a - N( 1 B ) c. If a single randomly selected individual is observed, find the probability that this person consumes is between 55.3 ml and 60 mL. d. For the group of 10 pancake eaters, find the probability that the average amount of syrup is between 55.3 mL and 60 mL. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes