7. Can a flu shot prevent one from developing the flu? A survey of a class with
ID: 3167573 • Letter: 7
Question
7. Can a flu shot prevent one from developing the flu? A survey of a class with 25 students yields the results given in the table. If a student is selected at random from the class, find the following : a. The probability that the student selected gets the flu. b. The probability the the student selected was vaccinated . c. Was flu development independent of vaccinations for students in this class?Developed Did not flu develop flu Vaccinated 5 10 Not vaccinated 7 3 7. Can a flu shot prevent one from developing the flu? A survey of a class with 25 students yields the results given in the table. If a student is selected at random from the class, find the following : a. The probability that the student selected gets the flu. b. The probability the the student selected was vaccinated . c. Was flu development independent of vaccinations for students in this class?
Developed Did not flu develop flu Vaccinated 5 10 Not vaccinated 7 3 7. Can a flu shot prevent one from developing the flu? A survey of a class with 25 students yields the results given in the table. If a student is selected at random from the class, find the following : a. The probability that the student selected gets the flu. b. The probability the the student selected was vaccinated . c. Was flu development independent of vaccinations for students in this class?
Developed Did not flu develop flu Vaccinated 5 10 Not vaccinated 7 3
Explanation / Answer
Total no.of students in the class=25
No.of students vaccinated in the class=15
No.of students not vaccinated in the class=10
No.of students vaccinated and developed flu=5
No.of students vaccinated and not developed flu=10
No.of students not vaccinated and developed flu=7
No.of students not vaccinated and not developed flu=3
Now, for question (a)
The probability that the student selected gets the flu= No.of students who had flu/Total no.of students in the class=(no.of students vaccinated and developed flu+no.of students not vaccinated and developed flu)/Total no.of students in the class=(5+7)/25=12/25=0.48
Now for question (b)
The probability that the students selected get vaccinated=Total no.of students vaccinated/total no.of students in the class=(5+10)/25=15/25=3/4=0.75
Now for question(c)
Flu developed was not independent of vaccinaton for students in the class.
if you compare the probability of the students who developed flu out of the students who got vaccinated to probabillity of the students not vaccinated and developed flu you can clearly say that the students who are vaccinated are more likely to get prevention from flu.
total vaccinations=15
no.of students developed flu out of those vaccinated=5
probability=5/15=1/3=0.3333
total non vaccinations=10
no.of students developed flu out of those not vaccinated=7
probability=7/10=0.7
from the above we can say that the students are more likely to develop flu if not vaccinated.
Thus flu shot can prevent one from developing the flu.
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