Question

A random sample of $900$students at a very large university was asked which social networking site they used most often during a typical week. Their responses are shown Page Number: $828$in the table

Assuming that gender and preferred networking site are independent, how many females do you expect to choose LinkedIn?

a.$87.00$

b.$90.00$

c.$95.40$

d.$97.50$

e.$103.35$

Short answer

The number of females expect to choose LinkedIn is

e.$103.35$

Step-by-step solution

Given information 

Given in the question that, A random sample of $900$students at a very large university was asked which social networking site they used most often during a typical week. Their responses are shown Page Number: $828$in the table.

We need to find that the number of females expect to choose LinkedIn if gender and preferred networking site are independent .

Explanation

Gender and favourite social networking site are thought to be unrelated. In the inquiry, the gender replies to social networking sites are listed in a table. The total number of rows in "Linkedln" is$195$, and the total number of columns in "Female" is $477$, whereas the total number of rows in the table is $900.$When the gender and favourite networking site are independent, the expected frequencies are the product of the column and row totals divided by the table total.

$E=\frac{r\times c}{n}$

$=\frac{195\times 477}{900}$

$=\frac{93015}{900}$

$=103.35$

The correct option is (e)