Question

2. 80% of the students pass the class. Assume that ten students are registered for the course. a. What probability distribution works best for this problem? Binomial, Poisson, Hypergeometric, or Normal b. What is the expected number of students that will pass the course? (2 decimal places) c. What is the standard deviation of students that will pass the course? (2 decimal places) d. What is the probability that exactly 8 will pass the course? (4 decimal places) e. What is the probability that at least 8 students will pass the course? (4 decimal places)

Answer 1

Ansa:

x=number of   students are registered for the course

p=prob of students pass the class

X~Binomila(n=10,p=0.80)

Binomial

Ansb:

Expected value=E(X)=n*p=10*0.8=8

Ansc: standard deviation =sqrt(n*p*(1-p))=sqrt(10*0.8*(1-0.8))=1.26

Ansd:

#the probability that exactly 8 will pass the course=0.302

Ans e:

the probability that at least 8 students will pass the course

# the probability that at least 8 students will pass the course=0.6778