For your initial post you will make up a problem similar to the above example.

(Remember that your problem must satisfy all the qualities of a binomial experiment – see above).

The binomial distribution has five characteristics:

• The number of trials (n) is fixed
• There are only two outcomes for each trial (success or failure)
• The probability of success for each trial (p) remains constant
• The trials are all independent of each other
• The random variable X represents the number of successes out of n trials.

Sample Binomial Experiment – this would be in your initial post:

A couple has 8 children (n = 8 trials). We will assume that the probability of having a boy (arbitrarily defined as a “success”) is p = 0.5.

a) Determine the probability the couple has exactly 5 boys.

b) Determine the probability that they have more than 5 boys.

c) Determine the probability that they have at most 5 boys.