Question 1

(a)Research using statistics should NOT be conducted erratically. Describe the SIX

(6) major phases of statistics in research. Give an example for each phase.

(b)Customer Service representative for a fast-food restaurant wanted to know the level of customer satisfaction. Design 5 Questions to measure customer satisfaction for this survey.

Question 2

An IT manager wanted to evaluate two projects ROI. Project X has favourable outcome 30% with RM15 million estimated profit and unfavourable 70% chance of RM2 million estimated loss. Project Y has an equal chance of RM30 million profit and RM5 million loss respectively.

(a)As a consultant, explain to the construction manager the benefits of using a decision tree to determine EMV.

(b)Draw a decision tree to show the scenario above.

(c)Based on this scenario (draw a decision tree with EMV). Elaborate on your recommendation to the construction manager.

Question 3

(a)Explain any THREE (3) properties of the Binomial distribution.

(b)Parking space is premium for space constraint shopping mall in Klang Valley. Studies have shown that 2 in every 10 cars parked in parking lot (during peak hours) are pickup trucks. Assume that the parking operator have observed 4 different parking lots.

(i)Calculate the probability that exactly two parking lots are pickup trucks.

(ii)Calculate the probability that at least two parking lots are pickup trucks.

(iii)Calculate the probability that all four lots are pickup trucks.