Atown recently dismissed 9 employees in order to meet their new budget reductions. the town had 7 employees over 50 years of age and 15 under 50. if the dismissed employees were selected at random, what is the probability that exactly 1 employee was over 50? express your answer as a fraction or a decimal number rounded to four decimal places.
The binomial distribution formula is given by :-
, where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.
Given : The number of employees over 50 years of age =7
The probability of employees over 50 years of age =
Number of dismissed employees : n= 9
Now, the required probability will be :
Thus, the probability that exactly 1 employee was over 50 = 0.1340