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Which of the following statements concerning the binomial distribution are true? The binomial distribution is symmetrical in shape when p=0.5 For a given sample size,
Which of the following statements concerning the binomial distribution are true?
- The binomial distribution is symmetrical in shape when p=0.5
- For a given sample size, the variance of the binomial distribution is smallest when the probability of success is exactly 1/2.
- For a fixed probability of success, the binomial distribution becomes less symmetric on increasing the sample size.
- The probability of success is determined by the probability of failure and vice versa.
- The binomial distribution is completely specified by its parameters, n and p.
- The range of values that can be taken on by a binomial random variable is any integer value between 0 and n inclusive.
- The binomial distribution provides a listing of all possible collectively exhaustive, though not necessarily mutually exclusive, outcomes for the random variable it is modelling, such that a certain probability of occurrence is associated with each outcome.
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