A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
In probabilityland, one third of population is senior. Every winter 20% of population gets the flu. on average, two out of five seniors get the flu. what is the probability that a person with the flu is senior?
 2 years ago
In probabilityland, one third of population is senior. Every winter 20% of population gets the flu. on average, two out of five seniors get the flu. what is the probability that a person with the flu is senior?

This Question is Closed

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.1"that's probability of senior with flu" whereas they are asking for "probability of person with a flu being a senior" I am not sure if they are same

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.1or let event A be senior event B be people with flu A=1/3 S B=.2 S 2/5B=(A ∩ B) probability of people with flu being a senior (A ∩ B)  B

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.1well, I thought it was 2/15 but I am having second thoughts

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.2you want P(seniorflu) correct?

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.1yes, probability of people with flu who are senior

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.2\[P(SF)=\frac{P(FS)P(S)}{P(F)}\]

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.1so , P(FS) is what I found to be 2/15?

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.1ok, also is this a defination \[P(SF)=\frac{P(FS)P(S)}{P(F)}\]

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.2\[P(AB)=\frac{P(A\cap B)}{P(B)}\] is the definition of conditional probability

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.2use this definition twice to get the formula I have above

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.2\[P(AB)=\frac{P(A\cap B)}{P(B)}\] \[P(BA)=\frac{P(A\cap B)}{P(A)}\Rightarrow P(BA)P(A)=P(A\cap B) \] then \[P(AB)=\frac{P(A\cap B)}{P(B)}=\frac{P(BA)P(A)}{P(B)}\]

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.1wow, thank you very much

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.2do you have a new final answer?

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.1(2/5)(1/3)  = (1/5) 2/15  = 1/5 2/15 * 5/1=2/3
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.