QUESTION $9(4$ Marks$)$

Considering the details outlined in question $8$ and assuming a stratified sampling approach informed the random selection

of the $20$ graduate interns, how many of the total population of $50$ interns who participated in the internship program were

probably offered employment letters by ABC Ltd$?$

A$.18$

B$.14$

C$.12$

D$.10$

Study the information provided below and answer questions $1012.$

INFORMATION

A team of product testing engineers has established that the lifespan of an XXXTM brand of digital smartwatch is normally

distributed, with a mean of $60$ months and the standard deviation of $10$ months. According to the manufacturer's policy, any

XXXTM smartwatch malfunctioning within $43$ months of purchase will be replaced with a new one.

QUESTION $10(4$ Marks$)$

What is the probability that a recently purchased XXXTM digital smartwatch will last between $40$ months and $85$ months?

A$.0\mathrm{.}8867$

B$.0\mathrm{.}9710$

C$.0\mathrm{.}7848$

D$.0\mathrm{.}9290$

QUESTION $11(4$ Marks$)$

What is the probability that a recently purchased XXXTM digital smartwatch will last at least $82$ months?

A$.0\mathrm{.}9861$

B$.0\mathrm{.}0861$

C$.0\mathrm{.}4861$

D$.0\mathrm{.}0139$

QUESTION $12(4$ Marks$)$

Based on the manufacturer$$s policy, what percentage of the XXXTM digital smartwatches are expected to be replaced?

A$.5\mathrm{.}00\%$

B$.4\mathrm{.}46\%$

C$.7\mathrm{.}81\%$

D$.2\mathrm{.}83\%$

Use the information provided below to answer questions $1315.$

INFORMATION

According to the Automobile Association of South Africa, sixty percent of vehicles on South African roads lack insurance

coverage. During a recent roadblock, ten motorists were randomly stopped and asked about their vehicle insurance status.

QUESTION $13(4$ Marks$)$

What is the probability that exactly six of the motorists will report having insurance for their vehicles?

A$.0\mathrm{.}1115$

B$.0\mathrm{.}0124$

C$.0\mathrm{.}0154$

D$.0\mathrm{.}2230$

QUESTION $14(4$ Marks$)$

What is the probability that at least two of the motorists will report having insurance for their vehicles?

A$.0\mathrm{.}9861$

B$.0\mathrm{.}0464$

C$.0\mathrm{.}9536$

D$.0\mathrm{.}0343$

QUESTION $15(4$ Marks$)$

What is the probability that at most seven of the motorists will report not having insurance for their vehicles?

A$.0\mathrm{.}8327$

B$.0\mathrm{.}4861$

C$.0\mathrm{.}5861$

D$.0\mathrm{.}1673$

Based on the information provided below, answer questions $1619.$

INFORMATION

A researcher aiming to examine the impact of organisational resilience culture $($ORC$)$ on firm productivity $($FP$)$ across the

South African tourism sector collected the data presented in the table below.

Firm # $123456789101112131415$

ORC $(\%)685282612941593822738749526472$

FP $(\%)564263433635443221597643455264$

The researcher measured ORC using an Index which consolidates measures of adaptability, flexibility, leadership support,

communication effectiveness, and employee empowerment. FP was measured using a multifactor tool.

QUESTION $16(4$ Marks$)$

The plot below is a graphical illustration of the researcher$$s data.

Which of the following best characterises the relationship between Organizational Resilience Culture $($ORC$)$ and Firm

Productivity $($FP$)$ across the $15$ tourism firms examined by the researcher?

A$.$ Organisational Resilience Culture $($ORC$)$ strongly correlates with Firm Productivity $($FP$)$ across the $15$ firms studied.

B$.$ Organisational Resilience Culture $($ORC$)$ weakly correlates with Firm Productivity $($FP$)$ across the $15$ firms studied.

C$.$ Organisational Resilience Culture $($ORC$)$ moderately correlates with Firm Productivity $($FP$)$ across the $15$ firms studied.

D$.$ Organisational Resilience Culture $($ORC$)$ correlates disproportionately with Firm Productivity $($FP$)$ across the $15$ firms

studied.

QUESTION $17(4$ Marks$)$

What is the Pearson correlation coefficient of the researcher$$s data?

A$.0\mathrm{.}9147$

B$.0\mathrm{.}9550$

C$.0\mathrm{.}8861$

D$.0\mathrm{.}9776$

QUESTION $18(4$ Marks$)$

Which of the following represents the accurate underlying trend equation describing the relationship between organisational

resilience culture $($x$)$ and firm productivity $($y$)$ across the $15$ tourism firms?

A$.$ y $=0\mathrm{.}7284$x $-6\mathrm{.}1752$

B$.$ y $=6\mathrm{.}1752+0\mathrm{.}7284$x

C$.$ y $=0\mathrm{.}7284+6\mathrm{.}1752$x

D$.$ y $=6\mathrm{.}1752-0\mathrm{.}7284$x

QUESTION $19(4$ Marks$)$

What is the expected productivity of a tourism firm with a resilience culture score of $60\%?$

A$.50\%$

B$.45\%$

C$.61\%$

D$.56\%$

Using the information provided below, answer questions $2022.$

INFORMATION

The data in the table below represents the trade between South Africa and four major trading partners in their respective

currencies during the twelve months of $2010$ and $2020.$

Major Currency $20102020$

Exchange Rate, R Trade volume,

$($in Billions of foreign

currency$)$

Exchange Rate, R Trade volume,

$($in Billions of foreign

currency$)$

US Dollar $($US$$)7\mathrm{.}307\mathrm{.}216\mathrm{.}4714\mathrm{.}5$

Euro $($EUR$)9\mathrm{.}703918\mathrm{.}6734$

Japanese Yen $($JPY$)0\mathrm{.}086\mathrm{.}50\mathrm{.}158\mathrm{.}4$

Chinese Yuan $($CNY$)1\mathrm{.}08186\mathrm{.}52\mathrm{.}39245\mathrm{.}5$

QUESTION $20(4$ marks$)$

Using $2020$ as the base year, calculate the Laspeyres Price Index for $2020.$

A$.100\mathrm{.}38\%$

B$.230\mathrm{.}97\%$

C$.125\mathrm{.}97\%$

D$.204\mathrm{.}40\%$

QUESTION $21(4$ marks$)$

Using $2020$ as the base year, calculate the Paasches Quantit