Is “age” in the Patients dataset normally distributed? Follow the directions (Comparing Data Characteristics to Theoretical Properties and Constructing the Normal Probability Plot) to answer this question. 

Age (Years) 78 74 89 81 87 65 90 61 90 78 78 71 76 76 79 72 72 64 72 69 63 78 83 62 71 83 63 83 76 79 65 79 74 63 84 90 73 81 75 87 70 73 77 71 76 49 78 86 67 69 73 88 67 69 77 64 76 64 41 49 59 81 74 77 78 73 67 80 77 73 67 86 82 84 73 82 62 84 89 84 81 81 78 84 37 62 80 80 73 80 80 80 81 39 86 79 87 53 83 80 79 72 77 81 67 80 67 88 88 92 85 85 80 98 74 77 53 93 83 80 79 87 59 81 94 33 78 29 80 63 86 96 89 80 55 73 67 75

2. Assuming that the “age” variable for the individuals in the Patients' dataset is normally distributed, what is the probability that the age of a patient in this dataset: 

a. Is less than 45?

 b. Is greater than 55? 

c. Lies between 45 and 55?