Answer:
0.7513 = 75.13% probability that no more than 1 employee was over 50
Explanation:
The employees are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
4 + 16 = 20 employees, which means that
4 over 50, which means that
5 were dismissed, which means that
What is the probability that no more than 1 employee was over 50?
Probability of at most one over 50, which is:
In which
Then
0.7513 = 75.13% probability that no more than 1 employee was over 50