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Suppose that H is the number of heads obtained in two tosses of a fair coin. Thenvar(H)??

And also this question:

Of the A-level students at a certain school, 60% of those taking Mathematics also takeEconomics, while 30% of those not taking Mathematics take Economics. Overall, 35%of the A-level students at this school take Mathematics. A student is selected randomlyfrom those taking Economics. The probability that this student is also studyingMathematics is:

And also this question:

Of the A-level students at a certain school, 60% of those taking Mathematics also takeEconomics, while 30% of those not taking Mathematics take Economics. Overall, 35%of the A-level students at this school take Mathematics. A student is selected randomlyfrom those taking Economics. The probability that this student is also studyingMathematics is:

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#2

(Original post by

Suppose that H is the number of heads obtained in two tosses of a fair coin. Thenvar(H)??

And also this question:

Of the A-level students at a certain school, 60% of those taking Mathematics also takeEconomics, while 30% of those not taking Mathematics take Economics. Overall, 35%of the A-level students at this school take Mathematics. A student is selected randomlyfrom those taking Economics. The probability that this student is also studyingMathematics is:

**Teddysmith123**)Suppose that H is the number of heads obtained in two tosses of a fair coin. Thenvar(H)??

And also this question:

Of the A-level students at a certain school, 60% of those taking Mathematics also takeEconomics, while 30% of those not taking Mathematics take Economics. Overall, 35%of the A-level students at this school take Mathematics. A student is selected randomlyfrom those taking Economics. The probability that this student is also studyingMathematics is:

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(Original post by

What have you tried for both of those questions?

**SeanFM**)What have you tried for both of those questions?

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#4

(Original post by

For the first one I honestly have no clue, and for the second one I tried having a numerical value of 100 as total people in the year to make the question simpler but I just don't know how to get to the answer of 0.52?

**Teddysmith123**)For the first one I honestly have no clue, and for the second one I tried having a numerical value of 100 as total people in the year to make the question simpler but I just don't know how to get to the answer of 0.52?

**model**that would help for question 1?

For part two, how about a certain kind of diagram? Putting in a number like 100 might work but you've probably been caught out by the probabilities. With the certain kind of diagram, you need to 'start in the middle and work outwards'.

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(Original post by

Can you think of any kind of

For part two, how about a certain kind of diagram? Putting in a number like 100 might work but you've probably been caught out by the probabilities. With the certain kind of diagram, you need to 'start in the middle and work outwards'.

**SeanFM**)Can you think of any kind of

**model**that would help for question 1?For part two, how about a certain kind of diagram? Putting in a number like 100 might work but you've probably been caught out by the probabilities. With the certain kind of diagram, you need to 'start in the middle and work outwards'.

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#6

For the first one draw a table with x, P(X=x), xP(X=x) and x^2 P(X=X) and use the formula for the variance Var(X)=sum(x^2 P(X=x)) - (sum(xP(X=x)))^2

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#7

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I thought PDF would work for one but have no idea how to construct it and I know 2 requires a venn diagram but again I don't know how to construct it right?

**Teddysmith123**)I thought PDF would work for one but have no idea how to construct it and I know 2 requires a venn diagram but again I don't know how to construct it right?

Correct. You have to 'start in the middle and work outwards' - what could this mean, when you just have two circles in your Venn diagram with one overlapping section?

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(Original post by

Doing something with the PDF is one way of doing it. What exam board are you with?

Correct. You have to 'start in the middle and work outwards' - what could this mean, when you just have two circles in your Venn diagram with one overlapping section?

**SeanFM**)Doing something with the PDF is one way of doing it. What exam board are you with?

Correct. You have to 'start in the middle and work outwards' - what could this mean, when you just have two circles in your Venn diagram with one overlapping section?

and i really don't understand could you please show me with a diagram? P

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#9

(Original post by

edexcel

and i really don't understand could you please show me with a diagram? P

**Teddysmith123**)edexcel

and i really don't understand could you please show me with a diagram? P

Another way (I'm not sure if it is acceptable or not) is to recognise that it can be modelled by a

**binomial distribution**with n = ?? and p = ??, and then use the result that the variance of such a distribution is

**??**

Imagine one circle says Mathematics and the other says Economics. When I say that you have to 'start in the middle and work outwards', it means that you have to start in the overlap (it would be the same idea if there were 3 difference subjects). Because you know that P(someone studies Mathematics) = P(Someone studies Mathematics and Economics) + P(Someone studies Mathematics but not Economics).

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(Original post by

One way of doing the first question has been given above.

Another way (I'm not sure if it is acceptable or not) is to recognise that it can be modelled by a

Imagine one circle says Mathematics and the other says Economics. When I say that you have to 'start in the middle and work outwards', it means that you have to start in the overlap (it would be the same idea if there were 3 difference subjects). Because you know that P(someone studies Mathematics) = P(Someone studies Mathematics and Economics) + P(Someone studies Mathematics but not Economics).

**SeanFM**)One way of doing the first question has been given above.

Another way (I'm not sure if it is acceptable or not) is to recognise that it can be modelled by a

**binomial distribution**with n = ?? and p = ??, and then use the result that the variance of such a distribution is**??****[img]**http://www.thereligionteacher.com/wp-content/uploads/2011/10/blank-venn-diagram-300x165.png[/img]Imagine one circle says Mathematics and the other says Economics. When I say that you have to 'start in the middle and work outwards', it means that you have to start in the overlap (it would be the same idea if there were 3 difference subjects). Because you know that P(someone studies Mathematics) = P(Someone studies Mathematics and Economics) + P(Someone studies Mathematics but not Economics).

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#11

(Original post by

OK so i understand how to find var(h) but still don't get how to solve the venn diagram

**Teddysmith123**)OK so i understand how to find var(h) but still don't get how to solve the venn diagram

Imagine one says Economics and the other says Economics. You have to start in the middle - so what proportion of students study both Maths and Economics?

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#12

**Teddysmith123**)

Suppose that H is the number of heads obtained in two tosses of a fair coin. Thenvar(H)??

And also this question:

Of the A-level students at a certain school, 60% of those taking Mathematics also takeEconomics, while 30% of those not taking Mathematics take Economics. Overall, 35%of the A-level students at this school take Mathematics. A student is selected randomlyfrom those taking Economics. The probability that this student is also studyingMathematics is:

I used to get D's and E's in core maths and statistics but since I started watching his tutorials I got nothing short of full marks in all my s1 papers.

He is especially good at edexcel and has video tutorials for each topic and also for every edexcel maths a level paper from 2007-2014

so why not check him out?

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