Question

A survey regarding the communication habits of Americans was conducted. The study randomly selected 700 American citizens and asked them a series of questions about their daily communication methods. Three primary methods of communication were identified as social media (M), SMS text messaging (T), cell phone call (C). The results are summarized below.

480 people responded using M or T
300 people use all three primary forms of comunication
465 people responded using M or C
440 people responded using C or T
405 respondents use at least 2 of the primary forms of comunication
There was nobody who used both M and C but did not use T
210 respondents used only forms of communication that differed from the primary 3
385 people use both C and T
a. Create a well labeled Venn diagram representing the survey.
b. How many people in the survey used only 1 of the three primary forms of communication?
c. What is the probability that a survey respondent used SMS text messaging?
d. What is the probability that a survey respondent used exactly 2 of the 3 primary forms of communication?
e. Given that a survey respondent used at least 1 of the 3 primary forms of communication, what is the probability that they used all 3?
f. Given a respondent used social media and standard calling with a cell phone, what is the probability that they also used SMS text messaging?

Answer 1

answers and explanation is shown in the attachment

Explanation:

The detailed steps and necessary substitution is as shown in the attached files.