(1 point) HIAM ~ The Higher Institute of Administration and Magistracy (HIAM) trains high level administrators, court cl

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(1 point)
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 15.3 with a standard
deviation of 1.15.The mean score for the English language
examination was 14.78 with a standard deviation of 1.92.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
14.23 and 17.27?
Round your answer to 4 decimal
places.
2. What is the lowest score a candidate
could score on the English language examination and be admitted to
HIAM?
Round your answer to 4 decimal
places.
In 2010, Solomon Akere took the entrance examination to HIAM and
scored 16.38 points on the French examination and 17.24 points on
the English examination.3. What is Solomon’s
percentile score on the French language examination?
Round your answer to the nearest whole
number.
4. What proportion of
the candidates taking the HIAM entrance examination performed
better than Solomon in the English language examination?
Round your answer to 4 decimal
places.
Eyabi Nzo took the HIAM entrance examination the same year as
his friend, Solomon.5. Eyabi scored at the
68th percentile on the English examination. What was Eyabi’s
score?
Round your answer to 4 decimal
places.