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The average production cost for major movies is as million dollars and the standard deviation is in million dollars. Assume the production cost distribution is normal. Suppose that 15 randomly selected major movies are researched. Answer the following questions. liiiuive your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of X? I ~ NlI_ I I_ I b. What is the distribution of 52:1: MI: I, I: I! c. For a single randomly selected movie, find the probability that this movie's production cost is between $1 and lid million dollars. I I d. For the group of 15 movies, find the probability that the average production cost is between 61 and as million dollars. I I e. For part d], is the assumption of normal necessary? QTesC-No . Question 2 > The average price of a college math textbook is $177 and the standard deviation is $30. Suppose that 12 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of a? a - N( 0 .12 b. For the group of 12, find the probability that the average price is between $168 and $179. c. Find the third quartile for the average textbook price for this sample size. $ (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? ( Yes NoQuestion 3 0/1 pt The amount of syrup that people put on their pancakes is normally distributed with mean 58 mL and standard deviation 13 mL. Suppose that 8 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? a - N( c. If a single randomly selected individual is observed, find the probability that this person consumes is between 55.3 mL and 57.7 mL. d. For the group of 8 pancake eaters, find the probability that the average amount of syrup is between 55.3 mL and 57.7 mL. e. For part d), is the assumption that the distribution is normal necessary? ( No YesQuestion 4 0/1 pt Suppose that the average number of Facebook friends users have is normally distributed with a mean of 126 and a standard deviation of about 47. Assume eight individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of 2? 2 - N( b. For the group of 8, find the probability that the average number of friends is less than 146. c. Find the first quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? ( No YesQuestion 5 0/1 pt Score on last try: 0 of 1 pts. See Details for more. > Next question Get a similar question You can retry this question below The average amount of money that people spend at Don Mcalds fast food place is $7.9100 with a standard deviation of $1.9200. 7 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of E? E - N( C. What is the distribution of Ex? Ex - N d. What is the probability that one randomly selected customer will spend more than $8.6615? e. For the 7 customers, find the probability that their average spent is less than $8.6615. f. Find the probability that the randomly selected 7 customers will spend less than $60.6305. g. For part e) and f), is the assumption of normal necessary? ( No Yes h. The owner of Don Mcalds gives a coupon for a free sundae to the 2% of all groups of 7 people who spend the most money. At least how much must a group of 7 spend in total to get the free sundae? $
