Given the new fad of health consciousness, a random sample of 400 college students was askedwhat their preferred type of drink was and whether they took regular or sugar free. The followingtable gives a two-way classification of the responses.RegularSugar freeTOTALSJuice21095305Iced Coffee752095TOTALS285115400(a) If one student is selected at random from these 400 students, find the probability that thisstudent(i) Prefers sugar free drinks(ii) Prefers juice(iii) Prefers regular juice(iv) Prefers juice given that it is a sugar free drink.(v) Prefers iced coffee or that drinks must be sugar free.(b) Are the events 'prefers juice' and 'prefers sugar free drinks' independent? Use probabilities tostate your answer.

Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

Answered: (a) If one student is selected at…

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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(a) If one student is selected at random from these 400 students, find the probability that this student Prefers sugar free drinks (i) (ii) Prefers juice (iii) Prefers regular juice