Question

Due Thursday by 12:10pm Points 10 Submitting an external tool Available after Jul 2 at 10am Summer 2020 Math 227 Online 10454 & 11743 Test: Summer 2020 Math 227 Ch 5 to 7 Test This Question: 3 pts 25 of 20 (26 complete Determine the area under the standard normal curve that lies between (a) Z-0.27 and 2-0.27. () Z-2.46 and 2.0, and (c) Z-1.36 and 2.1.95 (*) The area that tes between 2-0.27 and Z-0.27 (Round to four decimal places as needed.) (D) The area that lies between 2-246 and 2-0 (Round to four decimal places as needed) (e) The area that les between Z=- 1.35 and Z=1.95 is (Round to four decimal places as needed) Enter your answer in each of the answer boxes. MacBook Pro G Search or type URL R $ 3 % 5 4 & 7 * 00 6 9 W E R T

Answer 1

$(a)~P(-0.27<Z<0.27)=\Phi(0.27)-\Phi(-0.27)=2\Phi(0.27)-1=0.2128\\\\ where,~\Phi(x)=cdf~of~standard~normal~distribution\\\\ Use~R~code:~round(2*pnorm(0.27)-1,4).\\\\ (b)~P(-2.46<Z<0)=\Phi(0)-\Phi(-2.46)=0.5-1+\Phi(2.46)=\Phi(2.46)-0.5\\ =0.4931\\\\ Use~R~code:~round(pnorm(2.46)-0.5,4).\\\\ (c)~P(-1.36<Z<1.95)=\Phi(1.95)-\Phi(-1.36)=\Phi(1.95)+\Phi(1.36)-1\\ =0.8875\\\\ Use~R~code:~round(pnorm(1.95)+pnorm(1.36)-1,4).\\\\ Note:~You~can~get~same~answer~if~you~use~standard~normal~table.$