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Math 12 Name Professor Robles Score 30 Math 12 Quiz #3 (Spring 2024) All work must be clearly shown for credit. 1. Find the probability of each using the Standard Normal distribution (1 = 0,0 = 1). (6 pts) a ) P( -1.75 s Z s 1.25) -1E99 0 1699 b) P( Z s -1.75 or Z z 1.75) -1E99 1E99 2. In 2022, fuel efficiency (MPG) for all cars had a mean of 33.3 mpg and a standard deviation of 3.7 mpg. Assuming normal driving conditions: (6 pts) a) Find the probability that a randomly selected car gets between 25 and 40 mpg. 1E99 1899 b) Find the probability that a randomly selected car gets less than 38 mpg. -1E99 1E99 3. According to the Bureau of Labor and Statistics, the mean annual salary for teachers in Riverside/SB/Ontario is $850 with standard deviation of $28000. Using a normal distribution, find the probability that a randomly selected teacher earns between $60000 and $120000 annually. (3 pts)