If it is estimated that 30% of all students who fall under the Business Economics and Management Department

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ANSWER ALL QUESTIONS

QUESTION TWO                 (25 MARKS) 

The time it takes a randomly selected employee to perform a task is normally distributed with a mean value of 120 seconds and standard deviation of 20 seconds. 

Calculate the probability that a randomly selected employee will complete: 

2.1.1 The task within 100 to 130 sec 2.1.2     (5) 

In more than 75sec                                        (5) 

2.2 If it is estimated that 30% of all students who fall under the Business Economics and Management Department at Richfield have a valid driver's license. What is the probability of this in a sample of 10 students?          

2.2.1 Exactly 4 have a valid driver's license?             (5) 

2.2.2 At least 2 have a valid driver's license?            (5) 

 2.2.3 More than 9 have a valid driver's license?       (5) 

QUESTION THREE                (20 MARKS) 

The table below shows whether students from a certain University in Pretoria are right- or left-handed by sex. The total number of students who were interviewed was 100. Their responses were as follows: 

                             Male       Female    Total 

Right handed         38           42           80 

Left handed           12            8             20 

Total                       50           50           100 

3.1.1 What is the probability of selecting a left-handed male?         (5) 

3.1.2 What is the probability of selecting a right-handed female?   (5) 

3.2 A construction firm has bid on two different contracts. Let B1 be the event that the first bid is successful and B2, that the second bid is successful. Suppose that P (B1) = .4, P (B2) = .6 and that the bids are independent. What is the probability that: 

3.2.1. Both bids are successful?                                       (5) 

3.2.2. Neither bid is successful? QUESTION FOUR          (5) 

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