The [tex]42.5[/tex] % f the students polled prefer burger.
What is probability and statistics ?
Probability deals with predicting the likelihood of future events, while statistics involves the analysis of the frequency of past events. Probability is primarily a theoretical branch of mathematics, which studies the consequences of mathematical definitions.
Calculate the number of students prefer burgers.
From the tables, we know
The number of students and teachers,
[tex]$=40+10$[/tex]
[tex]$=50$[/tex]
The number of prefer pizza,
[tex]$=23+6$[/tex]
[tex]$=29$\\[/tex]
The number of prefer burger is [tex]$21$[/tex].
So,
[tex]$\frac{21}{50}\times 100$[/tex]
[tex]$=42$[/tex] percent
So, [tex]$42$[/tex] percent of the people polled prefer burger.
So, the first one is wrong.
Now,
[tex]$\frac{17}{40}\times 100$[/tex]
[tex]$=42.5$[/tex] percent
Since, [tex]$42.5\,\text{percent}$[/tex] of the students polled prefer burger.
So, the second one is right.
[tex]$\frac{40}{50}\times 100$[/tex]
[tex]$=80$[/tex] percent
Since, [tex]$80$[/tex] percent of the people are students. So, the third one is wrong.
The number of students who prefer burger is [tex]$17$[/tex],
So,
[tex]$\frac{17}{50}\times 100$[/tex]
[tex]$=34%$[/tex]
Therefore, the [tex]$34%$[/tex] % of the people polled into prefer burger are student. So, the fourth one is wrong.
The second option is correct.
Hence, the [tex]42.5[/tex] % f the students polled prefer burger.
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