Unemployment is a big concern due to people being laid off due to the Coronavirus pandemic. It is estimated that 20% of all households have been directly affected. Suppose we randomly sample 25 households and determine the number of households that have been directly affected.

a. Identify the type of distribution that can be used to analyze this data. Make sure to identify any parameters that would be needed in this identification (ex. N, p, , ).

b. What is the probability that at least 6 of these 25 sampled households have been directly affected? Show work to get full credit.

c. What is the probability that at least 4 but no more than 8 of the sampled household has been directly affected? Show work to get full credit.

PLEASE ANSWER ALL :)