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The mean amount of time it takes a kidney stone to pass is 15 days and the standard deviation is 5 days. Suppose that one individual is randomly chosen. Let x = time to pass the kidneyr stone. Round all answers to 4 decimal places where possible. a. What is the distribution of X? it ~ Nil H I] b. Find the probability that a randomly selected person 1with a kidney stone will. take longer than 13 days to pas. u. [1 c. Find the minimum number for the upper quarter of the time to pass a kidney stone. [ ldays. The average number of words in a romance novel is 64,136 and the standard deviation is 17,366. Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the proportion of all novels that are between 50,243 and 58,926 words. c. The 95th percentile for novels is words. (Round to the nearest word) d. The middle 50% of romance novels have from words to words. (Round to the nearest word)The mean height of an adult giraffe is 13 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let it be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places wi'iere possible. a. what is the distribution of I? it ~ NfI II I] b. What is the median giraffe height? I I ft. c. What Is the Z-score for a giraffe that is 19 foot tall? I I d. What is the probability that a randomly selected giraffe will be shorter than 18.5 feet tall?I I e. What is the probability that a randomly selected giraffe will be between 17 and 11.5 feet tall!| I f. The 35th percentile for the height of giraffes is I I ft. Americans receive an average of 15 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 7. 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 14 Christmas cards this year. c. If an American is randomly chosen, find the probability that this American will receive between 16 and 22 Christmas cards this year. d. 89% of all Americans receive at most how many Christmas cards? (Please enter a whole number)Los Angeles workers have an average commute of 29 minutes. Suppose the LAcommute time is normally distributed with a standard deviation of 13 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. a. What is the distribution of I? x . Nil H I] b. Find the probability that a randomly selected LAworker has a commute that is longer than 34 minutes. c. Find the 35th percentile for the commute time of LA workers. I I minutes The percent of fat calories that a person in America consumes each day is normallyf distributed with a mean of about 37 and a standard deviation of 11. Suppose that one individual is randomly chosen. Let x=percent of fat calories. Hound all answers to 4 decimal places if where possible a. what is the distribution of x? it ~ "(I II I} b. Find the probability that a randomly selected fat calorie percent is more than 43. I I c. Find the minimum number for the upper quarter of percent of fat calories. I I If Z is a random variable from a standard normal distribution and if P(Z