QUESTION IMAGE
Question
a social media company tracked the professions of 290 users who watched different types of videos and displayed the data in a table
determine the empirical probability that a person who watched videos was a student watching reveals
Step1: Find the number of students watching reveals
From the table, the number of students watching reveals is \(14\).
Step2: Find the total number of users
We sum up all the values in the table: \(8 + 23+29 + 23+12+17+21+17+29+15+19+14+31+5+11+16\)
Step3: Calculate the empirical probability
The formula for empirical probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (students watching reveals) is \(14\) and the total number of outcomes (total users) is \(290\). So \(P=\frac{14}{290}=\frac{7}{145}\approx0.048\)
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\(0.048\)