SOLUTION: For the following problem use the table below to determine the probability and Leave Answers as Fractions I think I got this I just need to know If I'm Right. I tried to word t

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Question 1162384: For the following problem use the table below to determine the probability and Leave Answers as Fractions
I think I got this I just need to know If I'm Right.
I tried to word the table so all the values would line up right. Hope it's clear.
Days exercising 0-1 2-3 4-5 6-7
Male Exercise 40 53 26 6
Femaleexercise 34 68 37 11
Find the probability that the individual was a male
and exercised 2-3 days/week.

First I totaled up the sums for male and female as well as days per week
So Now my Table looks like this:
Day exercising 0-1 2-3 4-5 6-7
Male exercise 40 53 26 6 =125
Femaleexercise 34 68 37 11= 150
Totals are =74 =121 = 63 =17 =275
Next I went and starting with the male column went over to the right to 2-3 days a week where (53) is listed took that and went to my total of 275 since the formula is P= Male Exercised 2-3 over the Total I got the Answer 53/275
Next Find the probability that the person exercised 4-5
days/week , given that the individual was female.
Same thing again so my table now looks like this
Days exercise 0-1 2-3 4-5 6-7
Male Exercise 40 53 26 6 =125
FemaleExercise 34 68 37 11= 150
=74 =121 = 63 =17 =275
However Because This Problem Says GIVEN that the Individual was Female I shrink my sample size and focus only on the Female side. So 150 becomes total and if I go to days per week exercising and move right until I get to 4-5 days then come back down to female I see the value is 37 so for this problem
Answer is (p=37/150)
Is this correct?
Finally, the last part as
Find the probability that the individual was female’ given they exercised 4-5 days per week.
Days exercising 0-1 2-3 4-5 6-7
Male exercise 40 53 26 6
Femaleexercise 34 68 37 11
This Time Days of the Week Exercising becomes my denominator specifically 4-5 days which gives me a total of 63 and I see if I follow the female column over to this area the value is 37 once again.
Answer P=37/63
Is this Correct?
Thanks for your help. I do hope this post wasn't too much

Answer by ikleyn(52784)   (Show Source): You can put this solution on YOUR website!
.
For the following problem use the table below to determine the probability and Leave Answers as Fractions
Days exercising  0-1   2-3   4-5   6-7
Male Exercise     40    53    26    6
Female exercise   34    68    37    11

Find the probability that the individual was a male
and exercised 2-3 days/week.
/////////////////////

Solution

First,  I formatted the given part by an appropriate way to make it easy readable.


Next, I start my solution.


In the table, I find that cell, which relates to males exercising 2-3 days/week.


The number in the cell is 53.


The post does not say, UNFORTUNATELY, from which category the individual is randomly selected,

     // and it is a FAULT of the post //

but I believe and I will assume that the individual is randomly selected from the entire population of all men and women.


So, I calculate the entire population


    40 + 53 + 26 + 6 + 34 + 68 + 37 + 11 = 275.


My next step is to form this fraction  .


It is your answer.

Solved.

-------------

As you see,  all you need to do is to read the problem;  to understand what they want and then to proceed accordingly.

There is nothing difficult in it  (!)


\/\/\/\/\/\/\/

So, I answered the first question in the post.

Honestly, your post is a mess of the problem's questions and your trials,
so, it is difficult to separate questions from your thoughts . . .

My I give an advice to you?

When you want to learn a new subject, do not post many questions in one post.

It ALWAYS works against you . . . under any circumstances . . .



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