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Math Help - probability

  1. #1
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    probability

    can anyone tell me wether these statements are Bionimial Distribution and why?

    1) A school car park has 5 spaces. the number of spaces filled at the same time each day

    2) A group of students is selected and they are asked to each take 8 shots at netball. For each student record the number of successful shots.

    3) A fair coin is spun untill a head occurs. How many spins are required untill the head occurs?

    4) A jar contains 49 balls numbered 1 to 49. six of the balls are selected at random. find the probability that four of the six have an even score
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  2. #2
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    Quote Originally Posted by badi6 View Post
    can anyone tell me wether these statements are Bionimial Distribution and why?

    1) A school car park has 5 spaces. the number of spaces filled at the same time each day

    Mr F says: Does the value of p stay the same for each day ......? Monday versus Sunday?

    2) A group of students is selected and they are asked to each take 8 shots at netball. For each student record the number of successful shots.

    Mr F says: The question asker probably intends the answer to be yes. That's the answer I'd give. But .....

    does a student become a better shooter with a little bit of practice? Will the value of p stay the same ......? I know my shooting would probably improve from shot 1 to shot 8. And is the shot taken from the same spot each time under identical conditions?

    3) A fair coin is spun untill a head occurs. How many spins are required untill the head occurs?

    Mr F says: No. There are not two possible outcomes - success or failure in each trial. Research Geometric Distribution.

    4) A jar contains 49 balls numbered 1 to 49. six of the balls are selected at random. find the probability that four of the six have an even score.

    Mr F says: No. See below.
    For a random variable to follow a binomial distribution, there are three criteria that need to be met. Are you familiar with them?
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  3. #3
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    Re: probability

    Thanks very much for your help!

    could you also help me with this? is this Binomial Distribution?

    A card is selected at random from a standard pack of 52 playing cards. The suit is recorded and the card is replaced. This process is repeated to give a total of 16 selections, and on each occasion the card is replaced in th pack before another selection is made. Calculate the probability that exactly 5 hearts occur in the 16 selections.
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    Quote Originally Posted by badi6 View Post
    Thanks very much for your help!

    could you also help me with this? is this Binomial Distribution?

    A card is selected at random from a standard pack of 52 playing cards. The suit is recorded and the card is replaced. This process is repeated to give a total of 16 selections, and on each occasion the card is replaced in th pack before another selection is made. Calculate the probability that exactly 5 hearts occur in the 16 selections.
    Note: New and unrelated questions require new threads.

    Let X be the random variable number of hearts.

    Then X ~ Binomial(n = 16, p = 1/4).

    Find Pr(X = 5).

    Note: \Pr(X = r) = {n \choose r} p^r (1 - p)^{n-r}.

    In your case, r = 5 .....
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  5. #5
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    re-probability

    Many thanks!
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