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3. There are 500 students in Pures College, 150 students are enrolled in Statistics course and 80 students are enrolled in a Maths course. There are 30 students who are taking both Statistics and Maths courses. (6 marks) Required: If a student is chosen at random a. What is the probability that the student is taking Statistics b. What is the probability that the student is taking Maths given that the student is also taking Statistics c. What is the probability that the student is taking Statistics given that the student is also taking Maths

Answer :

Answer:

a. 0.3

b. 0.2

c.0.375

Explanation:

A.  is asking for the number of students taking stats divided by the total Students. So in this case 150/500 which equals 0.3

B. This is asking for the number of students taking both stats and math divided by the number of students that are taking stats. So 30/150 which equals 0.2

C. This is asking for the number of students taking both stats and math divided by the number of students that are taking math. So 30/80 which equals 0.375

The probabilities for the different given scenarios are;

A) 0.3

B) 0.2

C) 0.375

We are given;

  • Total number of students enrolled in pures college = 500
  • Number of students taking statistics = 150
  • Number of students taking Maths = 80
  • Number of students taking both maths and stats =30

A) Probability that the student is taking statistics = 150/500 = 0.3

B) The probability that the student is taking Maths given that the student is also taking Statistics = 30/150 = 0.2

C) The probability that the student is taking Statistics given that the student is also taking Maths = 30/80 = 0.375

Read more about probability of events at; https://brainly.com/question/7965468

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