Please show work Of the Statistics graduates of a University

Please show work,

Of the Statistics graduates of a University 40%, received a starting salary of

$45,000.00. If 6 of them are randomly selected, find the probability that all the graduated had

starting salary of $45,000.00.

Solution

Assume that there is an infinite number (or a large number) of STATISTICS graduates so that selecting 6 has negligible effect on the pool, then the proportion of well-paid graduates remains at 40%.

Then the probability for selecting one well-paid graduate is 0.40, and selecting 5 is 0.40^6=0.004096