SOLUTION: Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118. If a recent test-taker is selected at random, what is the probability the s

Algebra ->  Probability-and-statistics -> SOLUTION: Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118. If a recent test-taker is selected at random, what is the probability the s      Log On


   

Question 1160673: Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118. If a recent test-taker is selected at random, what is the probability the student scored between 455 and 573 on the exam?
Answer by the_limit_DNE(3) About Me  (Show Source):
You can put this solution on YOUR website!
This question requires the use of a gaussian distribution (also referred to as a normal distribution or a bell curve) and a graphing calculator (the numerical range does not align with the approximate values for 68-95-99.7). Since the question references probability, or percentage of students with scores between 455 and 573, the "area" component of the cumulative probability is used. When typed into Desmos graphing calculator, as normaldist(514,118), P(455<=x<=573) evaluates to 0.383 or 38.3%