Question3

After post-graduate study, Luke found a job as HR analyst in London. The company iscurrently recruiting Chief Marketing Officer. The HR department recently sent out aknowledge test to the applicants after the initial CV screening. At this stage of selection, thecompany invites the highest 40% (the opposite is the lowest 60%.) scoring back for the nextface-to-face interview. According to the historical data, the test scores on this test arenormally distributed and has a meanof 55 with standard deviation of25.

a. What mark (to the nearest whole number) must a candidate achieve in order to securean interview? Showyour workings.

b. Explain the characteristics of standard normal distribution and normal distribution,respectively.

c. The company offers free buffet lunch for candidates attending the interview.As aHR analyst, Luke is asked to estimate the amount of salad to order for the interviewday. Sampling suggests that the amount of salad taken by each candidate (measuredingrams)distributes as the below diagram.

f (x) 0.25 0.2 0.15 D.1 0.05 4 10 12 14 16 18 20 22 24