Research has shown at 55%of subscribers share their password with someone outside of their household.A random sample of 12 persons were sampled.i.Define the variable of interest for this scenario.ii.What probability distribution do you think best describes the situation?Why?iii.Calculate the probability that less than 3 subscribers will share their password.iv.If 500 persons were sampled,determine the number of persons who are expected toshare their password with someone outside of their household.b)The number of bacterial colonies on a petri dish can has an average of 2.5 per cm2.i.Define the variable of interest for this scenario.ii.What probability distribution do you think best describes the situation?Why?.iii.Calculate the mean and standard deviation of the distribution.iv.Find the probability that a) in 1 cm2 there are no bacterial colonies.b)in 4 cm2 there are more than three bacterial colonies.