Question 4 (Marks: 15)

Q.4.1 It has been found that 2 out of every 10 people who visit a retail website make a purchase worth R1 000 or more. If we randomly select a sample of 9 visitors to the website, what is the probability that no more than three of the visitors will make a purchase worth R1 000 or more? Interpret your answer.(5)

Q.4.2 The score obtained on a learner's driving test is normally distributed, with an average score () of 67 and a standard deviation () of 2.5. What is the probability that a randomly selected person will:

Q.4.2.1 Obtain a score between 68 and 70? Interpret your answer. (5) Q.4.2.2 Obtain a score between 65 and 71? Interpret your answer. (5)