The math SAT scores for all women are normally distributed with a mean of 496 and a standard deviation of 105.
a) If a woman who takes the math portion of the SAT is randomly selected, find the probability that her score is above 500.
-2.41 500-496/105= .008 neg zscore= -2.41
b) If five math SAT scores are randomly selected from the population of women who take the test, find the probability that all five of the scores are above 500.
c) If five women who take the math portion of the SAT are randomy selected, find the probability that their mean score is above 500.
d) Find , the score separating the bottom 90% from the top 10%.