3. There are 7 Professors in Applied Data Science Department. When they arrange a committee, the probability for any Professor attending the committee is 0.8. The committee I cannot do business if more than 3 members are absent. Based on this information, a) (8 pts) Define the random variable (in words) and check whether it is a binomial random variable or not and write your conclusion. Explain your answer. b) (6 pts) What is the probability that they arrange a committee with appropriate number of members to do business? c) (6 pts) Calculate the standard deviation of this random variable and interpret it