All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

Let denote the height of adult males.

—(1)

—(2)

Using GC,

Mean

Variance

(i)

Let denote number of ink cartridge that last for one week or more, out of 8.

(ii)

Let denote number of ink cartridge that last for less than one week, out of 8.

(iii)

Let denote number of boxes of ink cartridges that will have at least half of the cartridges lasting less than one week, out of 6 boxes.

(i)

Graph to be inserted

(ii)

Using GC,

This show that there is a strong positive linear correlation between the weekly earnings of an employee and the number of years the employee is with the company.

(iii)

Using GC,

(iv)

Let

Thus, the employee earns an estimated weekly earnings of $293.

(v)

Firstly, the linear model is not appropriate here. Since it suggests as the number of years increases, the weekly earnings will increase proportionately, which is not realistic.

Secondly, is out of data range and this is extrapolation, which is a bad practice since our trend might not continue out of data range.

(i)

Using GC,

There is a probability of 0.0366 of observing a result equal to or more extreme than that is actually observed when the mean volume is indeed 0.6.

(ii)

It is not necessary since the sample size of 50 is sufficiently large for us to approximate the volume of juices to a normal distribution by Central Limit Theorem.

(iii)

Unbiased estimate of population mean

Unbiased estimate of population variance

(iv)

(i)

(ii)

and are independent

(iii)

(iv)

It is the probability that a student takes Finance given that he takes Marketing.

(v)

Number of students that take exactly two of these three subjects

Required probability

(i)

Let denote the journey times, in minutes by bus and by train, respectively.

(ii)

(iii)

The cases found by (ii) is a subset of the cases found by . Thus, will be greater.

(iv)

(v)

It is the probability that 3 times the cost of one bus journey is less than 2 times the cost of one train journey by not more than $3.

Hello!! Will you be uploading the answers for this paper? Thank you so much!!!!

yes, sorry was having a H2 math class for J2 just now.

it’s ok!! Thank u for doing this 🙂