In a school, 60% of the students are arts major while 15 % of the students are history major, and 70% of the students are at least one of arts and history among their majors. a) Find the probability of students with arts major but not history major, if possible. If not, provide the lower and upper bound. b) When n is 400, we take simple random sample of 200. Let X be the number of students who are history major and selected in the sample and Y be the number of students who are history major but not selected in the sample. Find the marginal distribution of each of X and Y.

In a school, 60% of the students are arts major while 15 % of the students are history major, and 70% of the students are at least one of arts and history among their majors. a) Find the probability of students with arts major but not history major, if possible. If not, provide the lower and upper bound. b) When n is 400, we take simple random sample of 200. Let X be the number of students who are history major and selected in the sample and Y be the number of students who are history major but not selected in the sample. Find the marginal distribution of each of X and Y.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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