Question: The grade 11 students in DPRO have an average height of 160 cm with a standard deviation of 4 cm. Random samples of size 50 will be taken. a. What probability of the random samples will have a sample mean greater than 165 cm? b. What probability of the random samples will have a sample mean within 2 cm from the sample mean? V. ACTIVITY ENGAGEMENT Directions: Solve the following problems. Show your complete solution and box the final answer. 1. The average salary of senior high school teachers is P 21,200. Assume a normal distribution with standard deviation of P 2,500. What is the probability that the mean for a sample of 36 teachers' salaries is less than