Hello

I needed help to solve the below questions

1.A shipment of thousands of pins contains some percentage of defectives. To decide whether to accept the shipment, the consumer follows a sampling plan where 80 items are chosen at random from the sample and tested. If the number of defectives in the sample is at most three, the shipment is accepted. (The number 3 is known as the acceptance number of the sampling plan.) a. Assuming that the shipment includes 3% defectives, what is the probability that the shipment will be accepted? (Hint: Use the binomial distribution.) b. Assuming that the shipment includes 6% defectives, what is the probability that the shipment will be accepted? c. Using the Data|Table command, tabulate the probability of acceptance for defective percentage ranging from 0% to 15% in steps of 1%. d. Plot a line graph of the table created in (c). (This graph is known as the operating characteristic curve of the sampling plan.)

2.An MBA graduate keeps interviewing for jobs, one by one, and will stop interviewing on receiving an offer. In each interview he has an independent probability 0.2166 of getting the job. a. What is the expected number of interviews? What is the variance? b. If there is enough time for only six interviews, how confident can he be of getting a job within the available time? c. If he wants to be at least 95% confident of getting a job, how many interviews should he be prepared for? d. Suppose there is enough time for at most six interviews. For what minimum value of p can he have 95% confidence of getting a job within the available time? e. In order to answer (d) more thoroughly, tabulate the confidence level for p values ranging from 0.1 to 0.5 in steps of 0.05.