Let Z1, Z2, ….be iid Normal(0; 1) rvs. Briefly explain how to use these rvs togenerate/construct a rv from the distributions in the list below. You may (and should) use the results fromearlier subproblems in order to solve later subproblems. You are not allowed to use the inverses of cdfs unlessyou can nd them in closed form (without integrals in the nal answer, i.e., of the Normal and Gammadistributions). Justify all your answers.1. Normal( mu = 1; sigma^squared= 4) 2. Chi squared with 1 degree of freedom 3.Chi squared distribution with n degrees of freedom4. Exponential(1)5. Uniform(0,1) 6. Exponential(B = 17) 7. Gamma(k; B= 19), k is a positive integer8. Cauchy distribution

A 78-year old woman is admitted to a Medical unit directly from her physician’s office for evaluation and management of congestive heart failure. She has a history of systemic hypertension.

The initial assessment completed by the RN of the assigned patient reveals a pulse rate that is rapid and very irregular. The patient is restless, her skin is pale and cool, she states she is dizzy when she stands up and she is slightly short of breath and anxious. Her BP is 106/88. Her ECG monitor pattern shows uncontrolled atrial fibrillation with a heart rate ranging from 150 -170 beats/min. Her respirations are 20/min and her O2 saturation is 90%.

Later that evening the patient calls the nurse because she feels “like something terrible is going to happen.” She reports chest pain, has increased shortness of breath, and has coughed up blood-tinged sputum.

1. Based on these symptoms, what might you suspect is happening?
2. What is the first thing the practical nurse should do and what further information would you expect to be collected?