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________ distribution is symmetrical when p = 0.5.
- a)Chi- square
- b)Population
- c)Poisson
- d)Binomial
Correct answer is option 'D'. Can you explain this answer?
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________ distribution is symmetrical when p = 0.5.a)Chi- squareb)Popul...
A binomial distribution occurs when there are only two mutually exclusive possible outcomes, for example the outcome of tossing a coin is heads or tails. It is usual to refer to one outcome as "success" and the other outcome as "failure".
If a coin is tossed n times then a binomial distribution can be used to determine the probability, P(r) of exactly r successes:
Here p is the probability of success on each trial, in many situations this will be 0.5, for example the chance of a coin coming up heads is 50:50/equal/p=0.5. The assumptions of above calculation are that the n events are mutually exclusive, independent and randomly selected from a binomial population. Note that ! is a factorial and 0! is 1 as anything to the power of 0 is 1.
In many situations the probability of interest is not that associated with exactly r successes but instead it is the probability of r or more (≥r) or at most r (≤r) successes. Here the cumulative probability is calculated:
The mean of a binomial distribution is p and its standard deviation is sqr(p(1-p)/n). The shape of a binomial distribution is symmetrical when p=0.5 or when n is large.
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________ distribution is symmetrical when p = 0.5.a)Chi- squareb)Popul...
Explanation:
Therefore, the correct answer is option 'D' - Binomial distribution is symmetrical when p = 0.5.
- Binomial Distribution: A binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, each with the same probability of success.
- Symmetrical Distribution: A symmetrical distribution is a probability distribution where the probability of an outcome is the same on both sides of the mean or central value.
- Probability of Success: In a binomial distribution, the probability of success is denoted by 'p'.
- p = 0.5: When the probability of success in a binomial distribution is 0.5, the distribution is symmetrical.
Therefore, the correct answer is option 'D' - Binomial distribution is symmetrical when p = 0.5.
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________ distribution is symmetrical when p = 0.5.a)Chi- squareb)Populationc)Poissond)BinomialCorrect answer is option 'D'. Can you explain this answer?
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