Assuming the SAT scores of students are Normally Distributed with a mean of 500 and standard deviation of 100. a. What is the probability that a randomly selected student has an SAT score less than 600? [1 mark] b. What is the probability that a randomly selected student has a score greater than and 550? [2 mark] c. 8.53% of the SAT scores of students lie below ____________? 2. A tire manufacturer believes that the tread life of its snow tires has a mean of 50000km and a standard deviation of 4000km. Assume 200 tires are randomly selected. a. What is the sampling distribution of the average tread life of the 200 randomly selected snow tires b. What is the probability that the average tread life of the 200 randomly selected snow tires is less than 50500 km? 3. Information on a packet of seed claims that the germination rate is 92%. The manufacturer need to understand this claim and randomly selects 160 seeds to test. a. What is the sampling distribution of the sample proportion of the 160 seeds that germinate? [ b. What is the probability that more than 95% of the 160 seed will germinate