As Part of Pharmaceutical Testing for Drowsiness as a Side

question 148

Short Answer

As part of pharmaceutical testing for drowsiness as a side effect of a drug, 200 patients are randomly assigned to one of two groups of 100 each. One group is given the actual drug and the other a placebo. The number of people who felt drowsy in the next hour is recorded as a. What is the probability that a randomly picked patient in the study feels drowsy in the next hour?
B) What is the probability that a randomly picked patient in the study takes the placebo or feels drowsy in the next hour?
C) Given that the patient was given the drug, what is the probability that he or she feels drowsy in the next hour?
D) Is whether a patient feels drowsy independent of taking the drug? Explain using probabilities.

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Definitions:

Surplus

The situation in which the quantity of goods exceeds the quantity demanded at the current price.

Price Ceiling

A legally established maximum price that can be charged for a good or service, usually set below the equilibrium price to make goods more affordable.

Excess Demand

A situation where the quantity demanded of a good exceeds the quantity supplied at a given price, often leading to upward pressure on prices.

Equilibrium Quantity

The quantity of goods or services at which demand equals supply, leading to a stable market condition.