Question 1191345: In a binomial distribution if n=4 and p=1/2 then median is
Answer by CPhill(1987)   (Show Source):
You can put this solution on YOUR website! In a binomial distribution with n=4 and p=1/2, the median is **2**.
Here's why:
* **Binomial Distribution:** A binomial distribution describes the probability of getting a certain number of successes in a fixed number of independent trials, where each trial has the same probability of success.
* **n = 4:** This means there are 4 trials.
* **p = 1/2:** This means the probability of success on each trial is 1/2 (or 0.5).
* **Median:** The median is the value that divides the distribution in half. Since p = 1/2, the binomial distribution is symmetric. In a symmetric binomial distribution, the median is equal to the mean.
* **Mean of a Binomial Distribution:** The mean (μ) of a binomial distribution is given by μ = n * p. In this case, μ = 4 * (1/2) = 2.
Since the distribution is symmetric, the median is equal to the mean. Therefore, the median is 2.
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