with detailed solution solution just like the example with graph and conclusion, handwritten

Read and analyze each item carefully. 1. Suppose the current annual salary of public-school teachers in the Philippines have a normal distribution with a mean of 51000 pesos and a standard deviation of 6000 pesos. Find the probability that the annual saiary of a randomly selected teacher would be between 42000 and 65000. The time it takes a computer repair company to diagnose a computer follows a normal distribution with a mean of 50 minutes and a standard deviation of 12 minutes. The company closes at 4 pm every day. if the technician starts diagnosis at 3 pm, what is the probability he will finish his diagnosis before he closes for the day? The life span of scientic calculator has a normal distribution with a mean of 58 months and a standard deviation of 10 months. The company gives a warranty of 36 months to replace any defective calculator with a new one. Suppose the company makes 1 million calculators per year, how many calculators may be replaced? Entry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean of 500 and a standard deviation of 100. Tom wants to be admitted to this university and he knows that he must score better than at least 70% of the students who took the test. Torn takes the test and scores 585. Will he be admitted to this university? A large group of students took a test in Statistics and the final grades have a mean of 70 and a standard deviation of 10. If we can approximate the distribution of these grades by a normal distribution, what percent of the students a. scored higher than 80? b. should pass the test (gradesEGO)? c. should fail the test (grades