Luau LULnLLLUILJ' : b. What number represents the 90111 percentile? c. What is the probability of getting a raw score between 28 and 38? d. 'What is the probability of getting a raw score between 41 and 44? For the z-scores below, find the percentile rank [percent of individuals scoring below): a. -0.47 b. 2.24 For the numbers below, nd the percent of cases falling above the z-score: a. 0.24 b. -2.07 A patient recently diagnosed with Alzheimer's disease takes a cognitive abilities test and scores a 45. The mean on this test is 52 and the standard deviation is 5. What is the patient's percentile rank? A fifth grader takes a standardized achievement test (mean = 125, standard deviation = 15) and scores a 148. \"that is the child's percentile rank? IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. a. What is the difference between Einstein's IQ and the mean? b. How many standard deviations is that? c. Convert Einstein's IQ score to a z score. d. [f we consider "usual IQ scores to be those that convert z scores between -2 and 2, is Einstein's IQ usual or unusual? Life Spans of Fruit Flies: The life spans of a special of fruit fly have a bell-shaped distribution, with a mean of 33 days and a standard deviation of 4 days. a. The life spans of three randomly selected fruit ies are 34 days, 30 days, and 42 days. Find the z.- score that corresponds to each life span and determine if any of these life spans are unusual. b. The life spans of three randomly selected fruit ies are 29 days, 41 days, and 25 days. Find the percentile that corresponds to each life span