### Problem 7 assign 4 RStudio The mean and standard deviation of SAT math scores were 513 and 120 respectively, in 2014. Assume that the scores are normally distributed and answer the following questions:

a) Find the 30th percentile. ```{r} #include solution in R ``` b) If your score is 700, what percentage of the students got higher scores than you in 2014? ```{r} #include solution in R ``` c) What percentage of students got SAT math scores from 400 to 600? ```{r} #include solution in R ``` d) If your score is 630, what is the percentile of your score? ```{r} #include solution in R ```