+0  
 
+1
108
5
avatar+1195 

Mary Kate is describing potential relationships between one having a military veteran status and an optimistic outlook on the economy. Assume a survey of 401 randomly selected persons revealed the following data:

 

The probability of selecting a person with no military veteran status is 0.926.

If a person with no military veteran status is chosen, the probability they have a pessimistic outlook on the economy is 0.582 and if a person with a military veteran status is chosen, the probability they have an optimistic outlook on the economy is 0.567

 

If you were to choose a person at random from the sample, determine the probability they have a military veteran status given that they have an optimistic outlook on the economy.

 

 

Let's suppose that 1,000 people were surveyed rather than just 401.

Number(no military veteran status) = 926

Number(no military veteran status and a pessimistic outlook on the economy) = 582

Number(a military veteran status and an optimistic outlook on the economy) = 567

 

So...

Number of no military veteran status only = 926 - 567 = 359

Number of no military veteran status and a pessimistic outlook on the economy only = 582 - 567 = 15

Number of military veteran status and an optimistic outlook on the economy = 1,000 - (359 + 15 + 567) = 1,000 - 941 = 59

 

P(a military veteran status and an optimistic outlook on the economy) = 59/1000 = 0.059?

(This is my attempt to solve a similar problem, so I hope someone can check my work if I did it correctly or not.)

 Dec 21, 2020
 #1
avatar
+1

I think this one is a LEEEETLE  bit different thatn the others posted so far

 

1000 people    926   no military   so   74 military

 

out of 74 military    .567 are optimistic     74 * .567 = ~42 folks with military and optimistic

     ( 42 out of 1000 are + military and opt )

 

No military is 926     pessimistic is .582 of this    926(.582) = ~ 556 <=====  the rest are no military and optimistic = 926-556 = 370

 

SO total optimistic is   370 + 42 = 412   optimistic people

 

          42 out of 412    would be the optimistic with military hx = .102         (I hope I didn't steer you wrong on this one !)

 

Venn diagram to follow...........

 Dec 21, 2020
 #2
avatar
+1

**** edit ****

 

I think this one is a LEEEETLE  bit different thatn the others posted so far

 

1000 people    926   no military   so   74 military

 

out of 74 military    .567 are optimistic     74 * .567 = ~42 folks with military and optimistic

     ( 42 out of 1000 are + military and opt )

 

No military is 926     pessimistic is .582 of this    926(.582) = ~539 <=====  the rest are no military and optimistic = 926-539 = 387

 

SO total optimistic is  387+ 42 = 429   optimistic people

 

          42 out of 429  would be the optimistic with military hx = .0979       (I hope I didn't steer you wrong on this one !)

 

Venn diagram to follow...........

Guest Dec 21, 2020
 #4
avatar+1195 
+1

So my first answer was incorrect for not knowing that this problem takes a different approach to solving it. Right then, I will look at this over to learn my mistakes and try again. Thanks again for your efforts, my fellow user! 

GAMEMASTERX40  Dec 21, 2020
 #3
avatar
+1

Venn diagram

 

 Dec 21, 2020
 #5
avatar+112863 
0

These questions are not worded properly.   

I mean this question and at least one other similar question that you have posted.

 Dec 22, 2020

11 Online Users