Question

9).

a.
A certain standardized test's math scores have a bell-shaped distribution with a mean of 520 and a standard deviation of 105. Complete parts (a) through (c). (a) What percentage of standardized test scores is between 205 and 835? % (Round to one decimal place as needed.) (b) What percentage of standardized test scores is less than 205 or greater than 835? % (Round to one decimal place as needed.) (c) What percentage of standardized test scores is greater than 730? % (Round to one decimal place as needed.)
b.

Answer 1

Solution 0 linen man - 500 SD/0) = 105 x M a ) pl 205 <x< 835) - PC 205-520 105 L 835-52d a 105 = P(-3<3<3) - Plzc3) - Plz2-3) - 0.9987 -0.0013 = 0.9974: = 99.7%. Lroundto one) © P(x<20) or P(XS835) = 1- P1 2052XC835) 1-0.9974 = 0.0026 F0.26% = 0.3% (yound to oney © P(X>730) = P(x-45 730-520 105 :) = Plz>2) = 0.0 228 = 1-P1zca) =1-0.9772 = 2.3%. fround to one

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