A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 89.9% for the medical students admitted through special programs. Be sure to enter at least 4 digits of accuracy for this problem! If 9 of the students from the special programs are randomly selected, find the probability that at least 8 of them graduated. prob = At least 4 digits! If 9 of the students from the special programs are randomly selected, find the probability that eactly 6 of them graduated. prob = At least 4 digits! Would it be unusual to randomly select 9 students from the special programs and get exactly 6 that graduate? no, it is not unusual yes, it is unusual If 9 of the students from the special programs are randomly selected, find the probability that at most 6 of them graduated. prob = At least 4 digits! Would it be unusual to randomly select 9 students from the special programs and get at most 6 that graduate? yes, it is unusual no, it is not unusual Would it be unusual to randomly select 9 students from the special programs and get only 6 that graduate? no, it is not unusual yes, it is unusual

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 89.9% for the medical students admitted through special programs. Be sure to enter at least 4 digits of accuracy for this problem!

If 9 of the students from the special programs are randomly selected, find the probability that at least 8 of them graduated.
prob = At least 4 digits!

If 9 of the students from the special programs are randomly selected, find the probability that eactly 6 of them graduated.
prob = At least 4 digits!

Would it be unusual to randomly select 9 students from the special programs and get exactly 6 that graduate?

no, it is not unusual
yes, it is unusual

If 9 of the students from the special programs are randomly selected, find the probability that at most 6 of them graduated.
prob = At least 4 digits!

Would it be unusual to randomly select 9 students from the special programs and get at most 6 that graduate?

yes, it is unusual
no, it is not unusual

Would it be unusual to randomly select 9 students from the special programs and get only 6 that graduate?

no, it is not unusual
yes, it is unusual

Expert Solution

Step 1

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Since each of the medical students has only options of "graduating from the course" (i.e., defined as success) and "not graduating from the course" (i.e., defined as failure), with a defined probability of graduating from the course (i.e., probability of success) as 89.9%, for a "n" number of enrolled students, the number of medical students with a specified attribute of graduating (i.e., x, the random variable) is said to be following a binomial distribution.

$F o r x ~ B i n o m i a l (n, p), t h e p m f i s : P (X = x) = \{\begin{cases} ^{n} C_{x} p^{x} {(1 - p)}^{n - x}; x = 0, 1, 2 . . . n \\ 0; O t h e r w i s e \end{cases} W h e r e p = s u c c e s s p r o b a b i l i t y$