In: Statistics and Probability
Suppose the chance of getting flu is independent of each other. Suppose 20% of graduate school students nationwide develop influenza. Further, suppose we have a class of size 15. Let X be the number of students who get flu, calculate the following probabilities:
1. Exactly 4 get influenza. Which is the correct answer? There might be slight rounding differences. Please provide an explanation.
a. 0.500
b. 0.188
c. 0.123
d. 0.818
2. No more than 4 get influenza. Which is the correct answer? There might be slight rounding differences. Please provide an explanation.
a. 0.500
b. 0.836
c. 0.001
d. 0.368
3. Less than 4 get influenza. Which is the correct answer? There might be slight rounding differences. Please provide an explanation.
a. 0.648
b. 0.846
c. 0.125
d. 0.684
4. How many students should the teacher expect to be sick with influenza that year? Which is the correct answer? The answer is NOT 3 students. There might be slight rounding differences. Please provide an explanation.
a. 2 students
b. 5 students
c. 1 student
d. 4 students