Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: Number of winning caps out of 5 bottles.
Checking the binomial criteria:
- Number of trials is fixed n=5 bottles of soda
- Only two possible outcomes per trial: "success": winning cap; "failure": regular cap.
- The trial are independent.
- The probability of success is constant trough the experiment p= 1/12= 0.083
This variable has a binomial distribution with parameters n= 5 and p= 0.083
You have to calculate the probability of getting 4 out of 5 winning caps
P(X=4)
Using the following formula:
Or using the tables for accumulated probabilities:
P(X=4)= P(X≤4)-P(X≤3)= 0.9999 - 0.9997= 0.0002
