The probability of flu symptoms for a person not receiving any treatment is 0.03. In a clinical trial of a common drug used to lower cholesterol, 37 of 1152 people treated experienced flu symptoms. Assuming the drug has no eff of flu symptoms, estimate the probability that at least 37 people experience flu symptoms. What do these results suggest about flu symptoms as an adverse reaction to the drug?
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
![**Clinical Trial Analysis: Probability of Flu Symptoms**
The probability of flu symptoms for a person not receiving any treatment is 0.03. In a clinical trial of a common drug used to lower cholesterol, 37 out of 1152 people treated experienced flu symptoms. Assuming the drug has no effect on the likelihood of flu symptoms, estimate the probability that at least 37 people experience flu symptoms. What do these results suggest about flu symptoms as an adverse reaction to the drug?
(a) Calculate \( P(X \geq 37) = \) [Input your answer rounded to four decimal places as needed.]
*Note: This exercise involves assessing whether flu symptoms can be considered an adverse reaction to the drug based on the probability estimation.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc3283a1-4525-4f83-85f5-1370b48b93ff%2F22570aad-b155-4caf-a5a9-02a7ec603092%2Fjhlbzpi_processed.png&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
