Question

Please provide detailed explanations and basic formulas used when possible so I can fully understand. Thank you :)

2.16 The blood pressure of an individual taken by an instrument used at home is a r.v. Xdistributed as N4, 2o), whereas the blood pressure of the same individual taken in a doctor's office by a more sophisticated device is a r.v. Y distributed as MA, σ). If the r.v.'s X and Y are X + Y independent, compute the probability that the average i) within 1σ from the mean μ ii) within 2ơ from the mean

Answer 1