STAT 50-VTE telephone operators are assigned to handle all 411 calls

1) VTE telephone operators are assigned to handle all 411 calls. The mean time to respond to a caller is 30 seconds with a standard deviation of 5 seconds (Hint: draw a picture of the normal distribution curve for each problem). Use 4 decimal places of accuracy.a) What proportion of calls are responded to in about 35 seconds?b) What is the probability that your call will be handled in less than 40 seconds?c) What is the probability that your call will be handled in more than 25 seconds?II. In a simple random sample of 1200 randomly selected adults, it was found that 702 of those surveyed said they would prefer balancing the united states government’s budget by raising taxes.1) What is sample proportion from the survey above?a. 0.702 b. 0.585 c. 1200 d. 1.7092) Using a 95% confidence level what is margin of error?a. 0.023 b. 0.014 c. 0.028 c. 0.00043) Find the 95% confidence interval for the proportion of all adults who prefer balancing the budget by raising taxes.a. (0.6846, 0.6854) b. (0.571, 0.599) c. (0.690, 0.712) d. (0.577, 0.613)