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 5.6 and a standard deviation of 2.2. Answer parts (a)-(d) below. (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 (Round to four decimal places as needed.) The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 5% of UGPAS? (b) Between what two values does the middle 50% of the UGPAs lie? + 3.30 =0.17 The 2.6 3.30 Grade point average 4 (a) The minimum UGPA that would still place a student in the top 5% of UGPAs is 3.58. (Round to two decimal places as needed.) (b) The middle 50% of UGPAs lies between (Round to two decimal places as needed.) on the low end and on the high end. ... The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n = 67, find the probability of a sample mean being less than 19.6 if = 20 and = 1.3. Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. For a sample of n = 67, the probability of a sample mean being less than 19.6 if = 20 and = 1.3 is (Round to four decimal places as needed.) xample Get more help Clear all A Check answer