Solve it correctly please. I ll rate with multiple votes. TYPED answer only. Explain well.

The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a standard deviation of 8.3 cm. a. Find the probability that an individual distance IS greater than 218 00 cm. b. Find the probability that the mean for 15 randomly selected distances is greater than 20400 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 C] (Round to four decimal places as needed,) c. Choose the correct answer below. The normal distribution can be used because the mean is large The normal distribution can be used because the probability Sless than 0.5 The normal distribution can be used because the original population has a normal ustrlbution_ The normal distribution can be used because the finite population correction factor is small.