Mean of Binomial Distribution:
The mean of a binomial distribution is a measure of the central tendency of the distribution. It represents the average value or expected value of the random variable. In the case of a binomial distribution, the mean is calculated using the formula:

μ = n * p

where μ is the mean, n is the number of trials, and p is the probability of success in each trial.

Standard Deviation of Binomial Distribution:
The standard deviation of a binomial distribution is a measure of the dispersion or spread of the distribution. It indicates how much the values of the random variable deviate from the mean. In the case of a binomial distribution, the standard deviation is calculated using the formula:

σ = √(n * p * (1 - p))

where σ is the standard deviation, n is the number of trials, and p is the probability of success in each trial.

Given Information:
In this case, we are given that the mean of the binomial distribution is 4 and the standard deviation is √3.

Calculating the Mean:
We can use the formula for the mean to calculate the value of n * p:

n * p = μ

4 = n * p

Calculating the Standard Deviation:
We can use the formula for the standard deviation to calculate the value of √(n * p * (1 - p)):

√(n * p * (1 - p)) = σ

√(4 * (1 - p)) = √3

4 * (1 - p) = 3

1 - p = 3/4

p = 1 - 3/4

p = 1/4

Final Result:
Therefore, the mean of the binomial distribution is 4 and the standard deviation is √3 when the number of trials is n and the probability of success in each trial is 1/4.