Historical data explains that 63% of students enrolled in Math class at the local university throughout any term pass the course. A randomly chosen section of this course has 24 students enrolled. Answer the following questions based upon this scenario. (Show the formula or the calculator command that you employ as appropriate)
a) What kind of probability distribution applies to this problem? Describe that it satisfies the criteria of this probability distribution.
b) Determine the probability that exactly 16 students in this section will pass this term.
c) Determine the probability that no more than 11 students pass the course this term.
d) Determine the probability that at least 7 students pass the course.
e) Would it be unusual for 20 students to pass the course this term? Justify your answer.
f) Determine the expected number of students who will pass the course this term. i.e. the expected value of this probability distribution.
g) Determine the standard deviation of the number of students who will pass the course this term. i.e. the standard deviation of this probability distribution.