Answer:
The probability that all three of them will find full-time jobs within three months after graduation from college is 0.0197.
Step-by-step explanation:
Let X denote the number of college graduates who will find a full time job within three months after graduation from college.
A random sample of 3 college students, who will be graduating soon, are selected.
The probability of X is, p = 0.27.
Each student is independent of the other to find a full time job within three months after graduation from college.
The random variable X follows a binomial distribution with parameter n = 3 and p = 0.27.
Compute the probability that all three of them will find full-time jobs within three months after graduation from college as follows:
[tex]P(X=3)={3\choose 3}(0.27)^{3}(-0.27)^{3-3}[/tex]
[tex]=1\times 0.019683\times 1\\=0.0197[/tex]
Thus, the probability that all three of them will find full-time jobs within three months after graduation from college is 0.0197.
