detailed handwritten solution

Some sources report that the weights of full-term newbom babies in a certain town have a mean of 8 pounds and a standard deviation of 1.2 pounds and are Normally distributed. a. What is the probability that one newborn baby will have a weight within 1,2 pounds of the mean-that is, between 6.8 and 9.2 pounds, or within one standard deviation of the mean? b. What is the probability that the average of four babies' weights will be within 1.2 pounds of the mean; wil be between 6.8 and 9.2 pounds? C. Explain the difference between (a) and (b). a. The probability is (Round to four decimal places as needed.) b. The probability is (Round to four decimal places as needed.) c. The distribution of means is and than the original distribution. Therefore, the distribution of means will have observations located closer to the center of the distribution