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Math Help - Central limit theorem

  1. #1
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    Central limit theorem

    I need some help with this.

    The probability to get 6 at each throw of a dice is 0.4(dice is unfair). We throw the dice 10 000 times and let X be the number of "6" in these throws.

    What is the expected value for X?

    So far I made this:

    Y is a random variable for each throw

    Y ~
    0 | 1
    0.6| 0.4

    I think it's correct, but what to do next?
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  2. #2
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    hello

    i think the expected value of x representing the number of 6's we get is supposed to be :
    0.4*10000=4000
    Last edited by topsquark; May 15th 2011 at 04:55 AM.
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  3. #3
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    islam has the answer, but its showing a latex error. ill just retype it with {tex} tags to remove the latex error:
    Quote Originally Posted by islam View Post
    i think the expected value of x representing the number of 6's we get is supposed to be :
    0.4*10000=4000
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  4. #4
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    that seems reasonable. I thought i need a function.

    What is the probability for X to be on the interval between 390 and 450?

    Can I solve this with normal distribution? N ~(4000,sigma?)
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  5. #5
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    yes, dont forget the continuity correction.
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  6. #6
    Grand Panjandrum
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    Quote Originally Posted by Nforce View Post
    that seems reasonable. I thought i need a function.

    What is the probability for X to be on the interval between 390 and 450?

    Can I solve this with normal distribution? N ~(4000,sigma?)
    Check this, since the mean is 4000, and the SD =\sqrt{10000\times 0.4 \times 0.6} \approx  50

    CB
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