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Math 200 Fall 2019-03 Directions: There are 10 questions in 5 pages. Closed notes. Show work for full credit. 1. Using the standard nomal table find the following a. P(zS1.38) Exam 2 Name: d. P(-1.32szs24) b. P(z>-2.16) 0.96

Math 200 Fall 2019-03 Directions: There are 10 questions in 5 pages. Closed notes. Show work for full credit. 1. Using the standard nomal table find the following a. P(zS1.38) Exam 2 Name: d. P(-1.32szs24) b. P(z>-2.16) 0.96

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Math 200 Fall 2019-03 Exam 2** **Directions:** There are 10 questions in 5 pages. Closed notes. Show work for full credit. ### 1. Using the standard normal table, find the following: a. \( P(Z \leq 1.38) \) (Depicted with a standard normal distribution curve shaded to the left of z = 1.38.) b. \( P(Z \geq -2.16) \) (Depicted with a standard normal distribution curve shaded to the right of z = -2.16.) c. \( P(Z > 3.21) \) (Depicted with a standard normal distribution curve shaded to the right of z = 3.21.) d. \( P(-1.32 \leq Z \leq 2.24) \) (Depicted with a standard normal distribution curve shaded between z = -1.32 and z = 2.24.) e. Find \( z^* \) so that \( P(-z^* \leq Z \leq z^*) = 0.96 \) ### 2. Using a t-distribution with given degrees of freedom, find the following: a. \( df = 9, P(t \leq 2.262) \) (Depicted with a t-distribution curve shaded to the left of t = 2.262 for df = 9.) b. \( df = 20, P(t \leq 1.325) \) (Depicted with a t-distribution curve shaded to the left of t = 1.325 for df = 20.) c. \( df = 24, P(t \geq -1.318) \) (Depicted with a t-distribution curve shaded to the right of t = -1.318 for df = 24.) d. \( df = 40, P(-1.303 \leq t \leq 2.423) \) (Depicted with a t-distribution curve shaded between t = -1.303 and t = 2.423 for df = 40.) e. \( df = 30 \) find \( t^* \) so that \( P(-t^* \leq t \leq t^*) = 0.95 \)
Transcribed Image Text:**Math 200 Fall 2019-03 Exam 2** **Directions:** There are 10 questions in 5 pages. Closed notes. Show work for full credit. ### 1. Using the standard normal table, find the following: a. \( P(Z \leq 1.38) \) (Depicted with a standard normal distribution curve shaded to the left of z = 1.38.) b. \( P(Z \geq -2.16) \) (Depicted with a standard normal distribution curve shaded to the right of z = -2.16.) c. \( P(Z > 3.21) \) (Depicted with a standard normal distribution curve shaded to the right of z = 3.21.) d. \( P(-1.32 \leq Z \leq 2.24) \) (Depicted with a standard normal distribution curve shaded between z = -1.32 and z = 2.24.) e. Find \( z^* \) so that \( P(-z^* \leq Z \leq z^*) = 0.96 \) ### 2. Using a t-distribution with given degrees of freedom, find the following: a. \( df = 9, P(t \leq 2.262) \) (Depicted with a t-distribution curve shaded to the left of t = 2.262 for df = 9.) b. \( df = 20, P(t \leq 1.325) \) (Depicted with a t-distribution curve shaded to the left of t = 1.325 for df = 20.) c. \( df = 24, P(t \geq -1.318) \) (Depicted with a t-distribution curve shaded to the right of t = -1.318 for df = 24.) d. \( df = 40, P(-1.303 \leq t \leq 2.423) \) (Depicted with a t-distribution curve shaded between t = -1.303 and t = 2.423 for df = 40.) e. \( df = 30 \) find \( t^* \) so that \( P(-t^* \leq t \leq t^*) = 0.95 \)
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