Q1) In recent years, scores on standardized test for high school students with 3.5 to 4.0 grade point average were normally distributed, with mean of 39.9 and a standard deviation of 1.8. A student with a 3.5 to 4 grade point average who took standardized test is randomly selected.
a) Determine the probability that students test score is less than 36
b) Determine the probability that students test score is less than 36.6 and 43.2
c) Determine the probability that students test score is more than 41.6
Q2) Assume that you bought (randomly select) 3 laptops from production run of 10 laptops. Of the 10 laptops, 9 are destined to last at least two years without needing single repair. Determine the probability that all three of your laptops will last at least two years without needing single repair?