Show your work clearly, neatly, and understandably. Make sure you round the decimal for probability to 5-decimal place and round the percentage to 3-decimal. MAKE SURE YOU WRITE THE PROBABILITY NOTATION AND THE CALCULATOR NOTATION!! 1. (11:2,2,2,2,3) The SAT Math score is normally distributed with a mean of 500 and standard deviation of 100. a. What percentages of the test-takers score more d. A sample of 30 test-takers is selected at random. than 570? M = 500 0=1100 wowgilgoFind the probability that the average score is let X be percentages of test-taker scored aus more than 570. 10"gin X - N ( 500, 100) P ( x > 570 ) = normalcof ( Eqq, 570, 500,100 ) = 0 . 75803 b. If only the top 2% of the test-takers may be considered for a university admission, what is the lowest SAT Math score can apply? P ( 2 7 X ) = normalCDF ( e. Find the minimum average score for 30 test-takers to have an average score in the top 1%. C. A sample of 30 test-takers is selected at random. Find the probability that at least half of them score less than 570? Page 1 of 3