Using the binomial distribution, it is found that there is a 0.9844 = 98.44% probability that bohan goes to café georgia for a coffee today.
For each friend, there are only two possible outcomes, either they go to the cafe, or they do not. The probability of a friend going to the cafe is independent of any other friend, hence, the binomial distribution is used to solve this question.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- There are 3 friends, hence n = 3.
- They all go to the cafe with a 3/4 probability, hence p = 3/4 = 0.75.
The probability at least one goes is:
In which:
Then:
0.9844 = 98.44% probability that bohan goes to café georgia for a coffee today.
You can learn more about the binomial distribution at brainly.com/question/24863377