A binomial distribution is a probability distribution function used when there are exactly two mutually exclusive possible outcomes of a trial. The outcomes are classified as success and failure, and the binomial distribution is used to obtain the probability of observing x successes in n trials.
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Sign up for freeWhich of the following can be used for a binomial distribution?
A fair dice is tossed five times. We build a binomial distribution to X ~ B(5, 0.5) to calculate the probability of getting x heads. What does the cumulative probability P (X ≤ 3) represent?
A fair dice is tossed 5 times. We build a binomial distribution to X ~ B(5, 0.5) to calculate the probability of getting x heads. What does (1 - P (X ≤ 3)) represent where P (X ≤ 3) is the cumulative probability at x=3?
Which of the following can be used for a binomial distribution?
A fair dice is tossed five times. We build a binomial distribution to X ~ B(5, 0.5) to calculate the probability of getting x heads. What does the cumulative probability P (X ≤ 3) represent?
A fair dice is tossed 5 times. We build a binomial distribution to X ~ B(5, 0.5) to calculate the probability of getting x heads. What does (1 - P (X ≤ 3)) represent where P (X ≤ 3) is the cumulative probability at x=3?
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What is a binomial distribution?
A binomial distribution is a probability distribution that is used when there are exactly two mutually exclusive possible outcomes of a trial. The outcomes are classified as "success" and "failure", and the binomial distribution is used to obtain the probability of observing x successes in n trials.
How do you solve a binomial distribution?
If a random variable X has the binomial distribution B(n, p), then P(X = r) = nCr p^r (1 - p)^(n-r)
What is the binomial distribution formula?
If a random variable X has the binomial distribution B(n, p), then P(X = r) = nCr p^r (1 - p)^(n-r)
What are the properties of binomial distribution?
The properties of a binomial distribution B(n, p), are
1) There are a fixed number of trials, n.
2) There are two possible outcomes, success and failure.
3) There is a fixed probability of success, p, for all trials.
4) The trials are independent.
Why is a binomial distribution used?
A binomial distribution is used to obtain the probability of observing x successes in n trials in a random experiment with 2 possible outcomes.
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