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The probability that a trainee will remain with a company is 0.6. The probability that an employee earns more than Rs.10, 000 per year is 0.5. The probability that an employee is a trainee who remained with the company or who earns more than Rs.10, 000 per year is 0.7. What is the probability that an employee earns more than Rs.10, 000 per year given that he is a trainee who stayed with the company.

The odds against student X solving a Business statistics problem are 8 to 6, and odds in favour of student Y solving the problem are 14 to 16.

What is the chance that the problem will be solved if they both try independent of each other?

What is the probability that none of them is able to solve the problem?

Question 2: Marks: 1+3+2+3+1= 10

For the frequency distribution given below:

Length of Service No of employees

7.5-7.9 6

8.0-8.4 22

8.5-8.9 36

9.0-9.4 18

9.5-9.9 14

10.0-10.4 4

Calculate

Mean

Standard deviation

Co-efficient of Variation

Mean Deviation (from median)

Range

Question 3: Marks: 2+2=4

How many distinct four-digit numbers can be performed from the following integers 1, 2, 3,4,5,6 if each integer is used only once?

What would be the shape and name of the frequency distribution if

mean=median=mode

mean>median>mode

Question 4: Marks: 2+6=8

a) Describe the situation in which two variables are perfect positively correlated?

b) The cost of output at a factory is thought to depend on the number of units produced. Data have been collected for the number of units produced each month in the last six months, and the associated costs, as follows;

Output

('000s of units) X Cost

($'000) Y

2 9

3 11

1 7

4 13

3 11

5 15

Calculate the correlation coefficient and comment on your result.

Attempting Methodology / Requirements of the Assignment

This assignment covers Lesson No 9 to Lesson No 20

In Short answer question you can express your answer in 4-10 lines.

Illustrating your point you can give short examples

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Solve numerical step-by-step, giving all necessary explanation, whenever necessary.

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Q: The probability that a trainee will remain with a company is 0.6 The probability that an employee earns more than Rs10 000 per year is 0.5 The probability that an employee is a trainee who remaine?
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