State two properties of a binomial distribution.

For a binomial distribution $X \sim B(n, p)$:
Mean $E(X) = np$
Variance $Var(X) = np(1-p)$
Standard deviation $\sigma = \sqrt{np(1-p)}$

Given $E(X) = 0.95$ and $\sigma = 0.95$.

Square both sides of equation (2):

Substitute $np = 0.95$ from equation (1) into this equation:

Divide both sides by 0.95:

Substitute $p = 0.05$ into equation (1):

The value of $n$ is $\boxed{19}$.

(iii) The volume of mineral water Sup bottles is Normally distributed with a mean of 502 ml and standard deviation 2.5 ml. A bottle of mineral water is selected at random. Determine the probability that the bottle will contain

Given: $\mu = 502$ ml, $\sigma = 2.5$ ml.
To calculate probabilities for a normal distribution, we use the z-score formula: $Z = \frac{X - \mu}{\sigma}$.

Using a standard normal distribution table, $P(Z < 1.6) = 0.9452$.
The probability is $\boxed{0.9452}$.

From a standard normal distribution table:
$P(Z < 1.6) = 0.9452$
$P(Z < -2.8) = P(Z > 2.8) = 1 - P(Z < 2.8) = 1 - 0.9974 = 0.0026$

The probability is $\boxed{0.9426}$.

Since the normal distribution is symmetric about its mean (where $Z=0$), the probability of being greater than or equal to the mean is 0.5.

The probability is $\boxed{0.5}$.