Question

5D Department of Mathematics Introduction to Probability and Statistics (1440-281) Fall 2018 - 2019 Quiz (3) Name: 1 ID Number : Instructor: Dr. Mohammad Alakhra Section x 25 A Problem # 1 (8 Marks) Suppose that the random variable X is normally distributed with mean 25 and standard deviation 4 1. Find P(24 < X < 26). 0624-25 sz s 20-2 9 z x-u 4 P(-0.2552c 0.25)= 0.19742 10.19742 Final answer: 25 2025 2. Find Qi P (X<Q, ) = 0.25 -1.96 Q = 22.4 Q,- 25 =-0.65 (22.4 Final answer:

Answer 1

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X- 41 - M 0.25 P(X 580) - 6,15. > pl to see = 0.25 => [ 91 m - 0.25.24 (-0,675) P1-42 -0.675. - = . 1 = A - 06 TS > = 25 - 4x0.675 = 22.3