A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 144- cm and a standard deviation of 1.9-cm. For shipment, 48 steel rods are bundled together. Round all answers to four decimal places if necessary. ✓1.9 a. What is the distribution of X? X-N144 b. What is the distribution of ? - NO 144 c. For a single randomly selected steel rod, find the probability that the length is between 143.6-cm and 143.7-cm. d. For a bundled of 48 rods, find the probability that the average length is between 143.6-cm and 143.7-cm. e. For part d), is the assumption of normal necessary? No Yes o

Please answer B, C, & D.

The average number of kilos of meat a person consumes in a year is 90 kilos. Assume that the standard deviation is 10 kilos and the distribution is approximately normal. If a sample of 45 individuals is selected, find the probability that the mean of the sample will be 87 kilos or greater per year. Express your answer in percent form with 2 decimal places (with percent symbol - e.g. 10.00%) type your answer...

K The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is in the lowest 3%, then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table. Click to view page 2 of the table. a. The probability that a pregnancy will last 308 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before (Round to the nearest integer as needed.) days are considered premature. .