SOLUTION: A study conducted at a certain college shows that 75% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that 8 random

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Question 350708: A study conducted at a certain college shows that 75% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that 8 randomly selected graduates all found jobs in their chosen field within a year of graduating.
Thanks for the help, my original answer was 6, but it was wrong.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: Using The binomial theorem lets us obtain the probability of an event or a number of events
P=+%28n%21%2Fr%21%28n-r%29%21%29p%5Er%2A%281-p%29%5E%28n-r%29
.
For 8 successes out of 8 selected: P+=+1%2A%28.75%5E8%29%2A%28.25%5E0%29+=+.10
10% chance of all 8 randomly selected graduates all finding jobs in their chosen field within a year of graduating