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- 3) If X ~ N(5,2). Calculate P(2003. The given function is concave up on * 大 (1 Point) f (x) = xe¯ nопe of above (2, 00) (-1, 00)5. If Z ~ N(0,1) with P(Z < a) = 0.7 and P(Z < b) = 0.8122. a. Find P(a <Z < b)b. Find the value of bWhat are the value for sup e x>0 and inf e-* = XER1. Let Fa) = {8 ce oTherwise. %3D a Find c 6. Let az 0, x20, Finol PAZX+a) C. Let a20x2, Fnd P(X>xta X>a) d. Letbea, and b20, Find PCb8. When a stone is thrown vertically up, its height, hm, above the ground at time t seconds is given by h = 20t - 5t² for 0 ≤ t ≤ 4. Find the possible times at which the stone is 10 m above the ground. Give your answer correct to 2 decimal places. sasRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,