Question

A social media company tracked the professions of 290 users who watched different types of videos and displayed the data in a table.


Beauty Tips Contests Interviews Reveals
Artist 31 5 11 16
Student 29 15 19 14
Engineer 12 17 21 17
Nurse 8 23 29 23
Is being an engineer independent of watching interviews for these social media users? Justify your conclusion.
No, because 0.072 ≠ (0.231)(0.276)
No, because 0.072 = (0.231)(0.276)
Yes, because 0.072 ≠ (0.231)(0.276)
Yes, because 0.072 = (0.231)(0.276)

Answer 1

@eiwoh2 Can you help me with math, I normally wouldn't ask a mod but I need it :']

Answer 2

@toga

Answer 3

I need like the majority of these questions to be right :']

Answer 4

To answer the question, we need to calculate the probability of a user being an engineer and watching interviews, and compare it to the joint probability of a user watching interviews and the probability of a user being an engineer.

The probability of a user being an engineer is (12+17+21+17)/290 = 0.276.

The probability of a user watching interviews is (11+19+21+29)/290 = 0.231.

The joint probability of a user being an engineer and watching interviews is 0.072.

So, the answer is (a) No, because 0.072 ≠ (0.231)(0.276). The joint probability of being an engineer and watching interviews is not equal to the product of the probabilities of being an engineer and watching interviews separately. This indicates that being an engineer is not independent of watching interviews for these social media users.