The graduate program director in the Faculty of Education at Brock wanted to

7. The graduate program director in the Faculty of Education at Brock wanted to developa demographic profile of the Ph.D. candidates in the faculty. Where age is concerned, herresearch assistant calculated a mean of 30 years with a standard deviation of 2 years.
Assuming the distribution of doctoral students’ ages are normally distributed, what
percentage of candidates in the program:
(a) are older than 35 years of age?
(b) are younger than 27 years of age?
(c) are between 25 and 29 years?
(d) are between 32 and 34 years?
(e) Suppose there are 78 students in the Ph.D. programme; for questions 7. a, b, c, & d
above, indicate the exact number of students who would fall beyond or between the
designated ages/scores.