You Can Do This Expressed in percent form, find the area under the normal curve given the following z-scores. 1. from z = 0 to z = 1.57 6. for z > 1.34 2. from z = 0 to z = 2.81 7. for z -1.11 4. from z = -3.02 to z = 1.0 9. for z -2.29You Can Do This A. Find the area under the normal curve bounded by the given u and x. 1. M = 81, x = 71.5, 0 =9 2. H = 47, x = 55.6, 0 = 4 3. H = 68, x = 78.8, 0 = 6 4. 1 = 51, x = 69, 0 =7 5. M = 85, x = 93, 0 = 5 B. Solve the following problems: 1. The average expenses of the Dela Cruz family amount to P12,600 every half of the month with a standard deviation of P1,570. If their expenses are normally distributed, what is the probability of the family consuming less than P11,000 in half a month? 2. The mean production of workers in a certain factory is 10 products per hour, with a standard deviation of 1.5 products per hour. What is the probability of finishing (a) less than 12.8 products per hour? (b) more than 12 products per hour? 3. The average weight of insects for a laboratory experiment is 13.2 g, with a standard deviation of 0.8 g. What is the probability of randomly selecting insects with weights of (a) at most, 14 g? (b) 13.1 to 13.6 g? 4. The average battery life of a cellphone is 25 hours, with a standard deviation of 5 hours. If it follows a normal distribution, how many hours should be the cut-off in selecting the best 10% in terms of length of usage time? 5. A company's profit follows a normal distribution, with a mean of P500,000 a month and a standard deviation of P 50,000. What will be the company's lowest 20% possible profit