Business Weekly conducted a survey of recent graduates from the top MBA programs. On the basis of the survey, assume that 65% of the recent graduates annual salary exceeds $80000. Suppose you take a simple random sample of 51 recent graduates. Note: round all zz scores to 2 decimal places and all other numbers to 4 decimal places. Find the probability that less than 75% of the 51 recent graduates have an annual salary exceeding $80000. Beyond representative sampling, what assumptions are needed to satisfy the requirements for this problem?

• XXbinomial and both npnp and nqnq at least 5
• XXnormal and n30n30
• XXbinomial and at least 5 successes and failures
• XXnormal or n30