STATISTICS & PROBABILITY QUESTION

QUESTION 1 [11 MARKS] A researcher surveyed 400 respondents for their most preferred social media based on four different age groups. Table 1 displays the results of the survey. ii) iii) iv) Table l ___- ___I:- ___n ___\" Consider the event that a respondent preferred the Instagram and the event that a respondent is of age 26 35 years old. Are these two events mutually exclusive? Justify your answer. [2 Marks] If a respondent is selected at random, nd the probability that the respondent preferred the Twitter. [2 Marks] lfa mspondent is selected at random, nd the probability that the respondent preferred the Facebook or Tik Tok. [2 Marks] Given that a randomly selected respondent is of age 36-45 years old, What is the probability that the respondent preferred the Twitter or Instagram? [5 Marks]