Question

9) In a survey of college students, 871 said that they have cheated on an exam and 1756 said that they have not. If one college student is selected at random, find the probability that the student has cheated on an exam. A) 2627 1756 B) 871 2627 C) 2627 871 D) 1756 2627

Answer 1

The option b)
`(871)/(2627)` is correct

The probability that the student has cheated on an exam, if one college student is selected at random is
`(871)/(2627)`

Explanation:

Given that "In a survey of college students, 871 said that they have cheated on an exam and 1756 said that they have not.

To find the probability that the student has cheated on an exam , if one college student is selected at random :

Let x be the number of students cheated on an exam

Therefore x=871 students

Let y be the number of students not cheated in exam

Therefore y=1756 students

Total number of students is 871+1756

Total number of college students = 2627

Now the probability that the student has cheated on an exam, if one college student is selected at random is given by

`P(x)=(the number of students cheated on an exam)/(Total number of college students)`

`=(871)/(2627)`

Therefore
`P(x)=(871)/(2627)`

Hence the option b)
`(871)/(2627)` is correct

The probability that the student has cheated on an exam, if one college student is selected at random is
`(871)/(2627)`