For questions A to C, express your answer in a number between 0 and 1 with five digits of precision (i.e. 25.001% is 0.25001). For question D, express your answer in three decimal places(e.g. 1.231)

A student majoring in economics and finance is trying to decide on the number of firms to which she should apply. Given her work experience, academic results and extracurricular activities, she has been told by a placement manager that she can expect to receive a job offer from 47% of the firms to which she applies. The student applied to only 6 firms. Assuming the managers estimate is correct,

A) Find the probability that the student receives no offers. Answer:Answer

B) Find the probability that the student receives fewer than 3 offers Answer:Answer

C) Find the probability that the student receives all 6 offers. Answer:Answer

D) What is the mean and standard deviation of the number of job offers she should receive? Answer for mean:Answer Answer for standard deviation:Answer