According to a survey, 28% of adults in the Jamaica said that the cell phone is the invention that they hate most but cannot live without. Suppose this result holds true for the current population of adults in Jamaica. A sample of seven adults is selected.

1. Determine whether or not this is a binomial probability distribution. ( 4 marks)

Using the binomial formula, find these probabilities:

1. Find the probability that exactly three adults in this sample hold the said opinion. (1 marks)
2. Find the probability that at most two adults in this sample hold the said opinion. ( 3 marks)
3. Find the probability that at least three adults in this sample hold the said opinion. ( 5 marks)
4. Calculate the mean, variance and standard deviation for this distribution and "write a" brief conclusion of your findings ( 6 marks)