1. The first time passing rate for the BAR exam is 63%. A) What is the probability of sampling 10 lawyers and finding that they all passed the BAR exam the first time? B) What is the probability of selecting 10 lawyers and finding that exactly 8 passed the BAR exam the first time? 2. Develop a 95% confidence interval for the average life of phone batteries. A sample of 100 phone batteries revealed a mean useful life of 45,000 hours and the standard deviation is known to be 2,500 hours. 3. A driver claims that she can average 600 miles a day hauling freight. A sample of 36 trips revealed an average of 595 miles per day travelled and the standard deviation is 50 miles. Test the driver's claim at .05 alpha. 4. The income of incoming interns is normally distributed with a mean of $50,000 and a standard deviation of $2,500. A) What is the probability of randomly selecting an intern who earns between $49,000 and $51,000? B) What proportion of interns would be expected to earn more than $45,000