Please help me with these 3 questions

Points 30 Submitting an external tool work Prabhnoor Kaur Messages Show Intro/Instruction A library checks out an average of 337 books per day with a standard deviation of 75 books. The number of books checked out follows an unknown distribution. Consider a random sample of 102 days of operation. Let X = the average number of books checked out per day over a selection of 102 days. X-( Points possible: 2 Licen This is attempt 1 of 3. Message instructor about this question SubmitMessages each problem. After 3rd attempt, you can generate a new problem for full credit. Work problem by problem Suppose the weight of all boxes of cereal in a home with children is normally distributed with a mean of 44 ounces and a standard deviation of 8.14 ounces. 5 homes with children are surveyed. Let X = the average weight of all boxes of cereal in a home with children, from a sample of 5 homes (in ounces). X- ( Points possible: 2 License This is attempt 1 of 3. Message instructor about this question SubmitHomework Prabhnoor Kaur Messages Show Intro/Instructions A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 197.4-cm and a standard deviation of 1.7-cm. For shipment, 6 steel rods are bundled together. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( b. What is the distribution of X? X ~ N( c. For a single randomly selected steel rod, find the probability that the length is between 196.7-cm and 197.5-cm. d. For a bundled of 6 rods, find the probability that the average length is between 196.7-cm and 197.5- cm. I m c. Is the assumption of normality of X necessary for your answers to parts b and d? ( Yes No Points possible: 5 This is attempt 1 of 3. Message instructor about this question Submit