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
Part a)Originally Posted by amber79
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:
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
where denotes the cumulative distribution function for the
standard normal distribution.