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Math Help - Probability and binomial distribution?

  1. #1
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    Probability and binomial distribution?

    Could I get some tips/advice/information to help me solve these questions?

    1. Sheryl scores on 85% of her foul shots. If she has eight foul shots during a game, what is the probability that she will score on exactly seven of them?

    2. Is a normal distribution a reasonable approximation for a binomial distribution with n=50 and p=0.85? Explain.


    Thanks!
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  2. #2
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    Quote Originally Posted by Terra View Post
    Could I get some tips/advice/information to help me solve these questions?

    1. Sheryl scores on 85% of her foul shots. If she has eight foul shots during a game, what is the probability that she will score on exactly seven of them?
    Read this post

    http://www.mathhelpforum.com/math-he...ility-2-a.html

    Now find

    P(X=7) with n = 8 and p = .85
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  3. #3
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    Quote Originally Posted by Terra View Post

    2. Is a normal distribution a reasonable approximation for a binomial distribution with n=50 and p=0.85? Explain.

    Thanks!
    The sample size looks a bit small for a normal approximation. Use normal dist for n \approx 30 or greater.

    Also will p=0.85 give to much of a skew to use a bell shaped curve?
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  4. #4
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    I tried the equation for the first one and my answer is 0.3846. Is that right?
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  5. #5
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    Quote Originally Posted by Terra View Post
    I tried the equation for the first one and my answer is 0.3846. Is that right?
    The last decimal place should be 7 if you are rounding to four decimal places.
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  6. #6
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    Thanks guys! You two have been a huge help.
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