answer all questions with detailed explanation

The heights of European 13-year-old boys can be approximated by a normal model with mean u of 64.4 inches and standard deviation o of 2.36 inches. Question 1. What is the probability that a randomly selected 13-year-old boy from Europe is taller than 65 inches? (use 4 decimal places in your answer) Question 2. A random sample of 4 European 13-year-old boys is selected. What is the probability that the sample mean height x is greater than 65 inches? (use 4 decimal places in your answer) Question 3. A random sample of 9 European 13-year-old boys is selected. What is the probability that the sample mean height x is greater than 65 inches? (use 4 decimal places in your answer) Question 4. The Central Limit Theorem was needed to answer questions 1, 2, and 3 above. O True O False