1. What fraction of the area under the standard normal curve falls between the following zvalues? 0 and +0.67 0 and +1.65 0 and +1.96 0 and +2.57 0 and 43.6? 0 and -1.65 0 and -1.96 0 and -2.57 2. hat fraction of the are under the standard normal curve falls between the following zvalues? -U.85 and +0.85 -U55 and +9.55 -1.56 and +1.98 -2.23 and +2.96 -2.89 and +1.59 @9992 E reameooe 3. Using the standard normal table, determine the probability for each of the following events. Sketch the associated areas 2 5-0.44 z :_=- 1.96 -0.67 s z s +6.61r -1.28 s z 5 +1.28 g: 2 3.22) g: 93.39) g. 32.50 s z 5 +3.01) 4. The random variable X has a normal distribution with a mean 30 and a standard deviation of ve. a. Find the probability that X is between 25 and 35. b. Find the probability that X is greater than 40. c. Find the probability that X is less than 20. owners