The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a standard deviation of 8 cm. a. Find the probability that an individual distance is greater than 210.00 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 196.20 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? Success a. The probability is. (Round to four decimal places as needed.) dia Library b. The probability is Tools (Round to four decimal places as needed.) c. Choose the correct answer below. sions A. The normal distribution can be used because the finite population correction factor is small. O B. The normal distribution can be used because the original population has a normal distribution. Statcrunch Next 6:3 Type here to search O Rain. ~ . 0 0 6 014x 3/23/ home end insert delete X O: portsc F2 F4 F5 F9 F10 F11 F12 A & 6 LO O A N 5 Q W E R T Y U O PThe overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a standard deviation of 8 cm. a. Find the probability that an individual distance is greater than 210.00 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 196.20 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? b. The probability is (Round to four decimal places as needed.) ary c. Choose the correct answer below. O A. The normal distribution can be used because the finite population correction factor is small. O 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 mean is large. O D. The normal distribution can be used because the probability is less than 0.5 Statcrunch Next ype here to search O Rain. O prt sc home end inser F12 F2 F3 F4 F5 F6 F8 F9 F10 F11 % &