1. [Binomial Distribution Problem ]A company purchases shipments of medical equipmentcomponents and

1. [Binomial Distribution Problem ]A company purchases shipments of medical equipmentcomponents and uses this acceptance sampling plan:Randomly select and test 28 componentsaccept the whole batch if there are fewer than 3 defectivesreject the whole batch if there are more than 10 defectives,sample another 28 for further testing otherwise.For each question below, use the appropriate MegaStat output (output A or B) to answerthe question(a) If a particular shipment of thousands of components actually has a 8% rate ofdefects and a sample was taken, what is the probability that this whole shipment willbe accepted? (6 Points) Answer must be 5 decimal placesOutput AOutput B(b) Use the correct output below to answer your questions. If a particular shipment ofthousands of components actually has a 8% rate of defects and a sample was taken,what is the probability that this whole shipment will be rejected? (6 points) Answermust be 5 decimal placesOutput AOutput B(c) Recall that the equations for mean and variance for a binomial distribution is:μ=(n∗p),σ 2=(n∗p∗q) . What is the mean and variance for this problem?(2 pts each = 4 points total) Answer must be 2 decimal places