Question

in a binomial experiment with three trials the variable can take how many values?​

Answer 1

Answer:

A statistical experiment can be classified as a binomial experiment if the following conditions are met: There are a fixed number of trials, n. There are only two possible outcomes, called “success” and, “failure” for each trial.

The expected value, or mean, of a binomial distribution, is calculated by multiplying the number of trials by the probability of successes. For example, the expected value of the number of heads in 100 trials of head and tales is 50, or (100 * 0.5).

Answer 2

In a binomial experiment with three trials the variable , the probability is $P(X=k)=\frac{3!}{k!(3-k)!}p^{k}(1-p)^{(3-k)}$

Explanation:

The binomial distribution is a discrete probability distribution that represents the probabilities of distinct values of the binomial random variable (X) in a series of independent N trials.

The following formula calculates the chance that a random variable X with a binomial distribution B(n,p) is equal to the value k, where k = 0, 1,....,n:

$P(X=k)=\frac{n!}{k!(n-k)!}p^{k}(1-p)^{(n-k)}$

Given, the no. of trials $n=3$

$\therefore P(X=k)=\frac{3!}{k!(3-k)!}p^{k}(1-p)^{(3-k)}$

#SPJ2