Americans receive an average of 19 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 5. Let X be the number of Christmas cards received by a randomly selected American. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( b. If an American is randomly chosen, find the probability that this American will receive no more than 18 Christmas cards this year. c. If an American is randomly chosen, find the probability that this American will receive between 18 and 22 Christmas cards this year. d. 60% of all Americans receive at most how many Christmas cards? (Please enter a whole number)The average THC content of marijuana sold on the street is 9.1%. Suppose the THC content is normallyr distributed with standard deviation of 2'26. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible, a. What is the distribution of X? I ~ NI , ) b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 10.9. C] c. Find the 65th percentile for this distribution. ' lib