the VK test is used by blade runners to identify androids from humans. it is designed that 96.4% of humans will pass but only 5.1% of androids. a random sample of 1000 are selected to verify the effectiveness. 45 passed. which of the following accurately describes the sampling distribution of the sample proportion of androids who would pass the VK test?

1. a normal distribution with mean .045 and SD of .007
2. a normal distribution with mean 0 and SD 1
3. normal with mean .964 and SD of .006
4. normal with .051 mean and SD of .007
5. a t-distribution with 999 DF