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(Q5) (5 points) A class consists of 490 engineering students and 510 science students. The students are divided according to their marks: Passed Failed Engineer 430 60 Science 410 100 Answer the following questions. Justify your answers and, when appli- cable, round your answers to three decimal places. (a) If a student is randomly selected, what is the probability that the student passed and is an engineering student? (b) If a student is randomly selected, what is the probability that they are science student or they failed? (c) Given that a randomly selected student is a science student, what is the probability that the student failed the class? (d) Consider the event that a randomly selected student is a science student and the event that a randomly selected student has failed the class. Are these mutually exclusive events? (e) Consider the event that a randomly selected student is a science student and the event that a randomly selected student has failed the class. Are these events independent?

          (Q5) (5 points) A class consists of 490 engineering students and 510 science students.
The students are divided according to their marks:
Passed Failed
Engineer 430 60
Science 410 100
Answer the following questions. Justify your answers and, when appli-
cable, round your answers to three decimal places.
(a) If a student is randomly selected, what is the probability that the student
passed and is an engineering student?
(b) If a student is randomly selected, what is the probability that they are
science student or they failed?
(c) Given that a randomly selected student is a science student, what is the
probability that the student failed the class?
(d) Consider the event that a randomly selected student is a science student
and the event that a randomly selected student has failed the class. Are these
mutually exclusive events?
(e) Consider the event that a randomly selected student is a science student
and the event that a randomly selected student has failed the class. Are these
events independent?

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(Q5) (5 points) A class consists of 490 engineering students and 510 science students.
The students are divided according to their marks:
Passed Failed
Engineer 430 60
Science 410 100
Answer the following questions. Justify your answers and, when appli-
cable, round your answers to three decimal places.
(a) If a student is randomly selected, what is the probability that the student
passed and is an engineering student?
(b) If a student is randomly selected, what is the probability that they are
science student or they failed?
(c) Given that a randomly selected student is a science student, what is the
probability that the student failed the class?
(d) Consider the event that a randomly selected student is a science student
and the event that a randomly selected student has failed the class. Are these
mutually exclusive events?
(e) Consider the event that a randomly selected student is a science student
and the event that a randomly selected student has failed the class. Are these
events independent?

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Pratyush Raitan

06/08/2022

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Step 1: The total number of students in the class is 490 + 510 = 1000. Show more…

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(Q5) (5 points) A class consists of 490 engineering students and 510 science students. The students are divided according to their marks: Passed Failed Engineer 430 60 Science 410 100 Answer the following questions. Justify your answers and, when appli- cable, round your answers to three decimal places. (a) If a student is randomly selected, what is the probability that the student passed and is an engineering student? (b) If a student is randomly selected, what is the probability that they are science student or they failed? (c) Given that a randomly selected student is a science student, what is the probability that the student failed the class? (d) Consider the event that a randomly selected student is a science student and the event that a randomly selected student has failed the class. Are these mutually exclusive events? (e) Consider the event that a randomly selected student is a science student and the event that a randomly selected student has failed the class. Are these events independent?

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Transcript

00:01 Hello everyone so you're going to solve a problem that is based on probability all the data although locations are there in the case the data is not given by the student so i have i have a look for this question in the book so i'm using the data that is there the data is about the students basically it is completed all the cases.

00:28 I will write the data here the grades are a b c d and f and it will be completed all quizzes missed at least one case and total completed all missed at least one missed greater than equal to one and this is the total we'll use given r 1925 7 1925 7 10 15 76 9 5 10 11 12 2 9 20 30 17 17 8 30 17 17 21 30 17 17 21 30 17 and 15 and 13 33 3 is the total now we will be solving the next 10 questions based on this data given we have first question as you have to find the probability that i randomly choose in student under d so this will be number of students who are under d and divided by total number of students so students who under d is a part 21 divided or i will do a part here a part will be simply be 21 divided by 130 next question is probability that a randomly selected chosen student completed all quizzes so who has completed all quizzes these are 76 b will be 76 who are concluded all the cases out of 133 so this will be the probability now probability that a randomly selected chosen student on c or better c or better means 28 30 plus 17 that will be 28 plus 30 plus 17 sum of these three this will be 75 divided by 133 coming to depart probability that a student earned an a given that he missed at least one case he missed at least one still got a that will be 9 by 37 it is given that he missed this one q's so denominator 57 and he got a grade probability 9 this is all from the data.

04:21 Probability that is spent earned an f given that he completed all cases.

04:25 He completed all cases is 76 and earned an f grade probability is 15...

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