Problem 2.

(5 points)

HIAM ~The Higher Institute of Administration and Magistracy (HIAM) trains high level administrators, court clerks, and judges, to serve citizens in the country of Cameroon. Entrance into HIAM is very competitive. Candidates must pass exams in French and English languages in the top 5% to be admitted. This is a strict government policy with the goal of enforcing bilingualism and cultural amalgamation.The mean score for the French language examination was 15.7 with a standard deviation of 1.4.The mean score for the English language examination was 14.68 with a standard deviation of 1.54.Assume that the distribution of scores for each language examination is approximately normal.1.What proportion of candidates taking the French language examination scored between 12.15 and 18.58?

Round your answer to4 decimal places.

2.What is the lowest score a candidate could score on the French language examination and be admitted to HIAM?

Round your answer to4 decimal places.

In 2010, Solomon Akere took the entrance examination to HIAM and scored 18.15 points on the French examination and 15.86 points on the English examination.3.What is Solomon's percentile score on the English language examination?

Round your answer tothe nearest whole number.

4.Whatproportionof the candidates taking the HIAM entrance examination performed better than Solomon in the French language examination?

Round your answer to4 decimal places.

Eyabi Nzo took the HIAM entrance examination the same year as his friend, Solomon.5.Eyabi scored at the 56th percentile on the English examination. What was Eyabi's score?

Round your answer to4 decimal places