A student will be having a job interview soon and she knows that the selection committee has 4 members. She is concerned about the possibility of receiving a "strong" or a "weak" recommendation letter. She figures that if she receives a strong recommendation, then each of committee members will pass her, independently of each other, with probability .9, whereas if she has a weak recommendation letter this probability will be 0.35. Assume that she will receive the new job offer if a majority of the committee members pass her. She further feels that she is three times as likely to receive a strong recommendation letter as she is to receive a weak recommendation letter. Calculate the probability that she will receive the new job offer. (Determine the distribution - state the parameter values for that distribution).