2. (12 pts) The price for 2-eye Lasik surgery is normally distributed with mean $4380 and standard deviation $1210. A. Carefully draw the distribution and include P(x>5120). B. Find the probability in A. and interpret in a complete sentence. C. If a random surgery is found to have cost $3210, what is its z-score? D. What is the 23rd percentile surgery cost? (Be sure to interpret.) E. If a sample of 81 are collected, what is the probability the mean of the sample will be greater than 5120 ? F. Would it be be surprising to get an average great than 5120 ? 3. (14pts) A random sample of college students where asked how many hours in an average week they spend watching tv. The results are shown in the table. A. Find the 98% confidence interval, using the formula, for the mean number of hours all spend watching tv in an average week. SHOW ALL STEPS. B. Find the 98% confidence interval, using the formula, for the mean number of hours all spend on homework in an average week if we are given the population standard deviation is 3.5 hours. SHOW ALL STEPS C. Write a sentence about why your two intervals are different. D. What proportion of the sample watched more than 5 hours of tv in the average week? E. Use the calculator to find the 98% confidence interval for the true proportion hat watch more than 5 hours. (Hint: Be sure to interpret clearly the interval)