The Faculty of Technology and Applied Sciences (FTAS) provides a comprehensive range of 17 academic programs, spanning from diplomas to doctoral degrees. All these programs hold full accreditation from both MQA and recognized professional bodies. Admissions to these academic programs come in two categories: Normal admission and APEL admission. Table 1 below displays the six bachelor degree programs within the faculty, along with their respective admission types, as per data gathered in January 2023.

Table1

a)      Draw a bar chart based on TOP SIX bachelor degree programmes in the faculty.

b)     Draw a multiple bar chart (in percentage) to represent the type of admissions for each of the academic programme.

c)      Using sentences, compare the type of admissions for each of the academic programme based on b).

QUESTION 2

You are conducting a study on the choice of university among Sijil Pelajaran Malaysia (SPM) leavers in Malaysia. Your data includes a sample of 500 students who have recently enrolled in universities across the country. Specifically, you are interested in whether these students chose to study in private universities or local public universities. The data you collected is as follows:

·         175 students chose private universities.

·         325 students chose local public universities

a)

Calculate the probability that a randomly selected student from your sample chose to study in a private university.

(2)

b)

Determine the probability that a randomly selected student from your sample chose to study in a local public university.

(2)

c)

Are these two events mutually exclusive? Explain your reasoning.

(2)

Now, let’s consider additional factors that may influence the choice of university.

You have gathered the following information:

·         Among the students who chose private universities, 60% majored in business-related fields, while the rest majored in other disciplines.

·         Among the students who chose local public universities, 40% majored in business-related fields, while the rest majored in other disciplines.

·         70% of the students who majored in business-related fields chose private universities.

d)

Calculate the probability that a student chosen at random for the following:

i.

Majored in a business-related field and chose a private university.

(3)

ii.

Majored in a business-related field but chose a local public university.

(3)

e)

Are majoring in a business-related field and choosing a private university independent events? Explain your reasoning.

(3)