variance for X distribution= 10783 * 0.7958 *0.2042

variance for X = 10783* 0.7958 * 0.2042 = 1673.0106

SD = √0.1625 = 40.9025

for 99 % confidence limit critical z value is 2.575

Hence -2,575 * 40.9025 < x -8193 < 2.575* 40.9025

8193 - 105.3239 < x < 8193 + 105.3239

8087.6761 < x < 8298.3239

Upper limit for p = 8298.3239/10783 =0.7696

hence lower limit for p= 8087.6761/10783 =0.7500

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