Use the table from a random survey about the preferred service for streaming movies. Out of 750 people, how many would you expect to prefer Company B?

Answer:
The correct answer option is 192.
Step-by-step explanation:
We are given the results of a random survey about the preferred service for streaming movies.
We are to find the number of people we would expect to prefer Company B.
Number of people using service B = 32
Total number of people = 125
Number of people expected to prefer Company B = [tex] \frac{32}{125} \times 7 5 0 [/tex] = 192
Answer: Option A
192 people[
Step-by-step explanation:
From the participation survey
[tex]n =75+32+18=125[/tex] people
Among these 125 people, only 32 preferred the company B
Now assuming that this sample is representative of the total population, then the probability that a randomly selected person prefers company B is:
[tex]P =\frac{X_B}{n}[/tex]
Where
[tex]X_B=32[/tex]
[tex]n=125[/tex]
[tex]P =\frac{32}{125}[/tex]
[tex]P =0.256[/tex]
Finally, the expected number of people who prefer company B is:
[tex]E = P * m[/tex]
Where m is the number of people in the total population. [tex]m = 750[/tex]
[tex]E=0.256*750[/tex]
[tex]E=192\ people[/tex]