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Given that the total number of students that sent messages = 150 students
a) To obtain the equation to represent the number of students who send text messages, we will sum up the variables in the Venn diagram and equate it to 150.
Hence, the equation is
b) Solving for x
Therefore, x = 15.
c) The total number of student that uses cell phone = 75 + x = 75 + 15= 90students
The total number of students that sent messages = 150students
The formula for probability is,
Hence,
Therefore, the probability that a randomly chosen student uses their cell phone to send text messages is 3/5.