This Question: 1 pt 2 of 14 (3 complete) The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a standard deviation of 8.9 cm. a. Find the probability that an individual distance is greater than 215.50 cm. b. Find the probability that the mean for 25 randomly selected distances is greater than 204.20 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is (Round to four decimal places as needed.) b. The probability is (Round to four decimal places as needed.) c. Choose the correct answer below. O A. The normal distribution can be used because the mean is large. B. The normal distribution can be used because the original population has a normal distribution. O C. The normal distribution can be used because the probability is less than 0.5 O D. The normal distribution can be used because the finite population correction factor is small.This Question: 1 pt 3 of 14 (3 complete) Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n = 1016 and x = 591 who said "yes." Use a 99% confidence level. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. 'Round to three decimal places as needed.) b) Identify the value of the margin of error E. E =] (Round to three decimal places as needed.) c) Construct the confidence interval. (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. O A. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. O B. 99% of sample proportions will fall between the lower bound and the upper bound. O C. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound. O D. One has 99% confidence that the sample proportion is equal to the population proportion