Testing the conditions, we get that and , thus, this binomial experiment can be approximated using a normal distribution.
For each person sampled, there are only two possible outcomes. Either they believe in Hell, or they do not. The probability of a person believing in hell is independent of any other person, which means that the binomial distribution is used to solve this question.
Binomial distribution:
Probability of x successes on n trials, with p probability.
If and , it can be approximated to the normal distribution.
In this problem:
- Sample of size 100, thus .
- 58% believe in Hell, thus .
Then
and , thus, this binomial experiment can be approximated using a normal distribution.
A similar problem is given at brainly.com/question/24261244