Hi I need help on what is the answer for my learning activity. Below are the question and answer with explanation is optional. Other concerns will be in the comment section and also the reference. I hope that you can help me and surely I will give you a positive feedback

b. P(XS c) =97.5/100=0.975 , C=P97.5 Now, P(XS c) = P(Z s ) =0.975 = P(Z $ 1.96)=0.975 (refer to Z-table) Thus, 1.96 = 5-10 C = (4) (1.96) +10 = 17.84 = P97.5 Note: Zx - a percentile P(Z > z.) = a za is the (1-a)100" percentile of Z. a = 0.1, (1- a) = 0.90 -> Po of Z = Zo.1 =1.282 a = 0.05, (1- a) = 0.95 -> Pas of Z = Zo.05 =1.645 a = 0.01, (1- a) = 0.99 -> Pas of Z = Zo.01 =2.326 Learning Activity Instruction: Perform the following as indicated. Show all solutions neatly and systematically. 1. There are 7 agriculturests and 10 entrepreneurs attending a meeting. In how many ways can a committee of 5 be formed if a. the members are all entrepreneurs? b. the members are all agriculturests? C. the members are 2 agriculturests and 3 entrepreneurs? d. the members are at least 2 entrepreneurs? 2. A classroom has 6 rows of desks with 8 desks in a row. A class consists of 10 boys and 15 girls. a. How many ways can the teacher select and arrange 8 students in this class who will occupy the first row. b. Suppose the teacher does not want any boy to occupy the first row. How many ways can the teacher select and arrange 8 students who will occupy the first row? 3. Consider your favorite word, "BIOSTATISTICS." How many distinct ways can we arrange the letters contained in this word? 4. How many ways can we assign twenty new applicants into the 5 committees of an organization so that each committee will get 4 new applicants each? 5. An automatic soda dispenser is regulated so that it dispenses an average of 200 ml per cup. Suppose the amount of drink dispensed is normally distributed with a standard deviation equal to 15ml. a. What is the probability that a cup contains between 191 and 209 ml? b. What is the probability that a cup will overflow if 230ml cups are used? c. What is the 99" percentile