Answer:
Step-by-step explanation:
Given that a university found that 20% of its students withdraw without completing the introductory statistics course.
Each student is independent of the other and there are only two outcomes
X no of students in the registered 20 is binomial with p = 0.2
a)the probability that two or fewer will withdraw.
=[tex]P(X\leq 2)\\=0.2061[/tex]
b. Compute the probability that exactly four will withdraw.
=[tex]P(X=4) = 0.2182[/tex]
c. Compute the probability that more than three will withdraw.
[tex]=P(X>3)\\\\=1-F(2)\\= 1-0.4115\\=0.5885[/tex]
d. Compute the expected number of withdrawals.
E(x) = np = 4
