Please provide detailed answers!

Let X have range [0,3] and density fX(x) = kx2. Let Y = X3.

(a) Find k and the cumulative distribution function of X.

(b) Find the 30th percentile of X.

(c) Compute E(Y ).

(d) Write down an explicit formula, involving an integral, for Var(Y ).

(Do not compute the value of the integral.)

(e) Find the probability density function fY (y) for Y .

Second, inWyche v. State,^[18]the Supreme Court of Florida broadened its focus beyond the "known prostitute" circumstances, concluding that the entire list of suggestive circumstances failed to qualify the word "loiter" sufficiently to satisfy due process concerns.^[19]"Many innocent people saunter on the streets and call to friends," the court reasoned. "The list of circumstances guiding law enforcement officers is not exhaustive and leaves much to individual officers' discretion," which "encourages the arbitrary and discriminatory enforcement of the law."^[20]

687

*687The court thus concluded that the ordinance was unconstitutional.^[21]As noted above, CCO 12.08.030 prohibits activity similar to the activity used by theWychecourt to justify striking the Florida ordinance. Therefore, following the Florida Supreme Court's logic, CCO 12.08.030 is unconstitutional.

Third, inColeman v. City of Richmond,^[22]the Court of Appeals of Virginia noted that, because prostitution loitering ordinances do not require an overt act of solicitation or prostitution, an officer may arrest someone on a mere suspicion of future criminality. "Because there are no standards to govern the application of the ordinance, people are permitted to wander or stand idly at the whim of whichever police officer is on the beat."^[23]The court concluded that the ordinance vested too much discretion in the officers who enforce the ordinance and the ordinance allowed for arbitrary and discriminatory enforcement.^[24]CCO 12.08.030 presents these same problems (a court applyingColeman's logic would most likely strike the ordinance).

Question 1

1. Is it safe to give piracetam to patients with primary intracerebral haemorrhage? Does it have a neuroprotective effect?7180

2. Is it safe to give a patient with excessively high blood pressure (as a sequela to recent primary intracerebral haemorrhage) angiotensin converting enzyme inhibitors to lower the blood pressure?

3. Is it indicated to give piracetam or vincamine to a patient with middle cerebral artery territorial infarction? Do these have any neuroprotective effect?

Question 2

What is the mechanism by which subarachnoid haemorrhage is associated with subhyaloid haemorrhages on fundus examination, and how can cerebrospinal fluid (CSF) gain access to the subhyaloid space inside the eye?

Question 3

What is the recommended dosage for nimodipine given intravenously in cases of subarachnoid haemorrhage, and when should the treatment start? For how long should the dose be continued?

Question 4

I read recently that hyperuricaemia has something to do with stroke? Is it recommended to give allopurinol to stroke patients irrespective of their

serum uric acid?

Question 5

Is there a link between hyperuricaemia (although asymptomatic) and atherosclerosis and cerebral ischaemic stroke?

Question 6

Are phenytoin and carbamazepine indicated in myoclonus, occasionally seen in ischemic strokes?

Question 7

What is the treatment of chorea or action myoclonus resulting from embolic stroke to the area of basal ganglia? Does the L-dopa that is given by some neurologists improve the condition? Does valproate have a role if the case is action myoclonus?

Question 8

How should a patient with a haemorrhagic cerebrovascular accident be managed while also having an extensive inferior wall myocardial infarction?

Question 9

What is the best way to manage cortical vein thrombosis? If heparin is to be used, what is the recommended dosage and how long should this treatment last?

Question 10

In the case of cortical vein thrombosis, for how long should anticoagulation be continued?