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A. Solve the following questions. Show your complete solution. 1. What is the area under the normal curve from z= -1.23 and z= -2.67? Sale signise's everl of nodslugng sill to exit sith al juriwes (slumof anivol2 shu Shut 2. What is the area under the normal curve from z= -2.56 and z= 2.87? 3. What is the area under the normal curve from z= 0.65 and 1.06? owens way sthiw no uoY .noilubos sielymes :how emoldonq guiwolfer ard avloe a babivong souge 4. What is the area under the normal curve from z= -1.57 and 2.01? orie Snobbingoq art to () neem snit el jerw s 5. What is the area under the normal curve from z=0 to z=0.57? noo ertl bris adigmsa eldineng orth dela X noam alymsa (Een) sigma) moonan Classify each sample as lottery, stratified, systematic or cluster sampling. 6. Every 15th customer entering a shopping mall asks to select his or her favorite store. 7. In NVC, all teachers from one of the three buildings are interviewed to determine whether they believe the students have higher grades now than in previous years. 8. Students are selected using random numbers in order to determine their favorite subject. 9. Every student writes their names in a piece of paper, shuffles the papers and then the teacher draws five names. 10. The President of the school selects 10 teachers from each department.B. Solve the following. (5 points each) 1. On the final examination in statistics, the mean grade was 75 and the standard deviation is 5. In Physics, the mean grade was 78 and the standard deviation was 4. A student got a score of 78 in Statistics and 81 in Physics. In which examination was his standing higher? Explain your answer. (Hint: Use the formula of z-scores). 2. What is the size of the population to have a sample size of 240? (Hint: Use Slovin's Formula)