In: Statistics and Probability
In a recent year, grade 6 Michigan State public school students taking a mathematics assessment test had a mean score of 303.1 with a standard deviation of 36. Possible test scores could range from 0 to 1000. Assume that the scores were normally distributed.
a) Find the probability that a student had a score higher than 295.
b) Find the probability that a student had a score between 230 and 305.
c) What is the highest score that would still place a student in the bottom 16% of the scores?
Please show all work or if you used a TI 84 please explain the necessary steps to get the answer, thank you for the help :)