It is noted that 8% of Kaplan students are left handed.

Kaplan students

Kaplan students, It is noted that 8% of Kaplan students are left handed. If 20 (TWENTY) students are randomly selected, calculate the i. probability that none of them are left-handed, (2 marks) ii. probability that at most 2 are left-handed, (3 marks) iii. standard deviation for the number of left-handed students (2 marks) If 50 (FIFTY) classes of 20 (TWENTY) students are randomly selected, what is the probability that 10 (TEN) classes have no left-handed students? (3 marks) Question 3 Superior Construction Pte Ltd is a successful company dealing with many major projects in Singapore. Recently, it has submitted its biddings for two major Government projects.

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Project A worth about $120 million and the company believes it has 40% chance of securing the project.

Project B worth $1.8 billion and there is 30% chance the company can win the project. Both projects are independent of each other. What is the probability that the company: will secure Project A or B but not both (3 marks) will not secure Project A or will not secure Project B (3 marks) Do you agree that “if two events are mutually exclusive then these two events will be independent”? Why? (5 marks) Provide one business-related example each, with explanation, for mutually exclusive and independent events. (4 marks)