Use the information provided below to answer questions 11 - 12.

A telecom business analyst has estimated that 70 percent of the properties in a high-end Johannesburg suburb have fibre optic network installation.

Use the information provided below to answer questions 13 - 15.

A remote monitoring and management software installed on the laptops of the employees of company ABC Inc. has revealed that the number of hours spent daily by employees working online is normally distributed with a mean of 9 hours and a standard deviation of 45 minutes.

QUESTION 11

What is the probability that at most 2 out of 10 randomly surveyed properties in the suburb do not have fibre optic network installation?

A 0.0016

B 0.2335

C 0.3828

D 0.4986

QUESTION 12

What is the probability that at least 2 out of 10 randomly surveyed properties in the suburb do not have fibre optic network installation?

A 0.1493

B 0.6172

C 0.3828

D 0.8507

QUESTION 13

What percentage of the employees of ABC Inc. are expected to have worked less than 7 hours or more than 10 hours online on a particularly cold Monday during March 2022?

A 90.44%

B 9.56%

C 49.62%

D 10.44%

QUESTION 14

Determine the minimum number of hours per day spent by the top five (5) percent longest online working employees of ABC Inc.

A Approximately 9 hours, 45 minutes

B Approximately 10 hours, 15 minutes

C Approximately 9 hours, 14 minutes

D Approximately 10 hours, 45 minutes

QUESTION 15

The management of ABC Inc. is contemplating a bonus scheme for every employee who works more than 10 hours online per day. If R100 is earmarked for every additional hour worked daily, determine the expected cost of the bonus scheme for a 22 working-day month. ABC Inc. has 500 employees.

A R100 980

B R67 200

C R50 490

D R120 380

QUESTION 25

The quantity of rice sold by the grain merchant may be represented as a multiplicative model of the time series data (Yi), encompassing a trend component (Ti)), a seasonal component (Si), a cyclical component (Ci) and an irregular component (Ii). Which one of the following represents the deseasonalised and detrended, stationary residual of the data?

A TiSiCiIi

B CiIi

C SiCiIi

D TiCiIi