5. (10 points) Data from the Prussian army in the late 1800s indicate that there were an average of 9.8 deaths per year from horse kicks. Assume that the data can be modeled by the Poisson distribution. Find the probability that in a random year the number of deaths from horse kicks is within one standard deviation of the mean. 5. (20 points) For women aged 18-24, systolic blood pressures (in mm HG) are normally distributed with a mean of 114.8 and a standard deviation of 13.1 (based on data from the National Health Survey). Hypertension is commonly dened as a systolic blood pressure above 140. (a) If a single women between the ages of 18 and 24 is randomly selected, nd the probability that her systolic blood pressure is greater than 140. (b) If 4 women in that age bracket are randomly selected, nd the probability that their mean systolic blood pressure is greater than 140