chapter 3: 3.1 probability terminology (concepts, simple, complements) homework\nquestion 6\na group of…

chapter 3: 3.1 probability terminology (concepts, simple, complements) homework\nquestion 6\na group of people were asked if statistics teachers know the true meaning of life. 171 responded \yes\, and 347 responded \no\. find the probability that if a person is chosen at random, the person believes statistics teachers know the true meaning of life.\nprobability = (round to 4 decimal places)

chapter 3: 3.1 probability terminology (concepts, simple, complements) homework\nquestion 6\na group of people were asked if statistics teachers know the true meaning of life. 171 responded \yes\, and 347 responded \no\. find the probability that if a person is chosen at random, the person believes statistics teachers know the true meaning of life.\nprobability = (round to 4 decimal places)

Answer

Explanation:

Step1: Calculate total number of people

The total number of people is the sum of those who responded "yes" and "no". So, $171 + 347=518$.

Step2: Calculate probability

The probability $P$ that a randomly - chosen person believes statistics teachers know the true meaning of life (i.e., those who responded "yes") is given by the formula $P=\frac{\text{Number of "yes" responses}}{\text{Total number of responses}}$. So, $P = \frac{171}{518}\approx0.3290$.

Answer:

$0.3290$