Direction: Solve the following problems using the concept of Central Limit Theorem.(15pts each)
1.The attention span of senior high school students who frequently play video games has a mean of 20 minutes with a standard deviation of 18 minutes. Find the probability that if you select 45 students, the mean number of minutes of attention span between 12 and 24.
2. The average price of a Mathematics book in Solo Leveling Book Store is P80. With the given standard deviation of P57, find the probability that if 30 Math books are selected, their mean price will be less than P710.