Question

Please help show work please

- | X 00 Webwork for UK MA320/* We Work : MA320-Zhou x Sy 1/(sqrt(pi))integral of (-2, x # frac{1}{sqrt'eftiplight Parth € ? C Secure | https://webwork.as.uky.edu/webwork2/MA320-Zhou-S18/Homework13/7/?user=pma2448effectiveUser=pma244&key=ZjDwjdHZKPL9H3qsU8rwxZt2hAY... Appy Canvas UKY a Amazon.com: Online D graphics.pdf C 4 Recall that I YU Kampus Properties O DA WeBWork Logged in as pma244. Log Out > MATHEMATICAL ASSOCIATION OF AMERICA MAIN MENU webwork / ma320-zhou-s18 / homework13/7 Courses Homework Sets Homework 13 Homework 13: Problem 7 Problem 7 User Settings Previous Problem Problem List Next Problem Grades Problems (1 point) Let X1, ..., X be an independent trials process of continuous random variables with common mean 8 and common variance 5184. Let Sas be their sum and A61 be their average. Use the Central Limit Theorem to estimate the following: P(74.24 < SB4 < 598.4). (give your answer to four decimal places) P(-5.86 < 464 < 17.81). (give your answer to four decimal places) Problem 1 Problem 2/ Problem 3 ... Problem 4 ? Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 ... Note: You can eam partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining.

Answer 1

for sum of 84 numbers ; expected mean =64*8=512

std deviaiton =(5184*64)^1/2 =576

1)P(74.24<S64<598.4)=P(-0.76<Z<0.15)=0.5596-0.2236 =0.3360

2)

P(-5.86<A64<17.81)=P(-375.04<S64<1139.84)=P(-1.54<Z<1.09)=0.8621-0.0618 =0.8003

( please try 0.8004 if this comes wrong)