In a survey of women in a certain country (ages 20 - 29), the mean height was 63.2 inches with a standard deviation of 2.85 inches. Answer the following questions about the specified normal distribution. (a) What height represents the 95th percentile? (b) What height represents the first quartile? Click to view page 1 of the table. Click to view page 2 of the table. (a) The height that represents the 95th percentile is inches. (Round to two decimal places as needed.) (b) The height that represents the first quartile is inches. (Round to two decimal places as needed.)In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of 5.4 and a standard deviation of 2.1. Answer parts (a)(d) below. (I) (a) Find the probability that a randomly selected study participant's response was less than 4. The probability that a randomly selected study participant's response was less than 4 is D. (Round to four decimal places as needed.) (b) Find the probability that a randomly selected study participant's response was between 4 and 6. The probability that a randomly selected study participant's response was between 4 and 6 is D. (Round to four decimal places as needed.) (0) Find the probability that a randomly selected study participant's response was more than 8. The probability that a randomly selected study participant's response was more than 8 is D. (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. {E} A. There are no unusual events because all the probabilities are greater than 0.05. {:1- B. The events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05. ". P 'l'l-sn nunnI-o in nunIn luv- nnrl In\\ urn unusual knnnuon l-knir nrnknkililinn nrn inc-n lknn n m