Answer to Question #327575 in Statistics and Probability for Khaita

Question

Question 1 [25]

In a survey conducted among a random sample of students the following observations were made

regarding their gender and learning environment preferences during the COVID-19 pandemic:

168 prefer online learning

202 prefer face to face learning

180 prefer blended learning

34 male students prefer online learning and 70 male students prefer blended learning

106 female students prefer face to face learning

Required:

a) What is the probability that a female student is chosen?

b) What is the probability that a male student prefers face to face learning?

c) What is the probability that a student prefers online or blended learning?

d) If it’s known that the student is female, what is the probability that this student prefers online

learning.

e) Using a practical example, explain the difference between mutually exclusive events and

independent events.

Answer 1

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