A group of people were asked if life exists elsewhere in the galaxy. 209 responded "Yes", and 227 responded "No". Find the probability that if a person is chosen at random, the person believes life exists elsewhere in the galaxy. Probability = (Round to 4 decimal places)
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
![**Probability of Belief in Extraterrestrial Life**
A survey was conducted to determine the belief in the existence of life elsewhere in the galaxy. The results were as follows:
- 209 respondents answered "Yes," indicating they believe life exists elsewhere in the galaxy.
- 227 respondents answered "No," indicating they do not believe life exists elsewhere in the galaxy.
**Objective:**
Calculate the probability that a randomly selected individual from this group believes in the existence of extraterrestrial life.
**Calculation:**
To find this probability, use the formula:
\[ \text{Probability} = \frac{\text{Number of "Yes" responses}}{\text{Total number of responses}} \]
\[ \text{Probability} = \frac{209}{209 + 227} \]
Ensure to round the final probability to four decimal places.
**Interactive Component:**
An input field is provided for users to enter the calculated probability, followed by a "Submit Question" button for verification or feedback on their answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65f900eb-b634-4182-a839-b2016fefdf6d%2Fc4724cf4-f104-4a69-9f70-fcebb69606a5%2F2d9gyd9_processed.jpeg&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
