You should consider asking only one question in a single post

it makes it easier to tell what has been answered, as it is

not always possible to answer multiple questions in one go

Originally Posted byamber79Part a)

Assume a fair dice, the the probability of success is .

In trials the mean number of successes is:

.

In a binomial experiment with probability of success and

trials the standard deviation of the number of success is:

Part b)

If we use the normal approximation we want to find the probability of a

normally distributed random variable with mean and

standard deviation taking values between and

(we extend the range from to as a continuity

correction) or:

,

where denotes the cumulative distribution function for the

standard normal distribution.

.

RonL