Astudent has takem the sat and act in preparation for the college application process and can only report one score to her selected colleges
the sat mathematics scores are known to follow an approximate normal distribution with a mean of 500 and a standard deviation of 100
the act mathematics are know to follow an approximate normal distribution with a mean of 21 and a standard deviation of 6
the student scored between a 720 on the sat math test and a 33 on the act.
what is the probably that a randomly selected student scored lower than this student on the sat mathematics.