A study conducted at a certain college shows that 6868 % of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that 1111 randomly selected graduates all find jobs in their chosen field within a year of graduating, rounded to the nearest thousandth.

Question

Mathematics

Nyla Hampton

1 December, 13:23

A study conducted at a certain college shows that 6868 % of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that 1111 randomly selected graduates all find jobs in their chosen field within a year of graduating, rounded to the nearest thousandth.

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Marquis Mckinney · Answer 1

Answer: Hello mate!

each school graduate has a 68% to find a job in their chosen field within a year after graduation.

And we want to know the probability for a randomly chosen group of 11 graduates to all get a job in their area within a year of graduating.

(you used the numbers 6868% and 1111, I am assuming that you write this wrong and repeated the numbers)

Ok! so each of the 11 students has the same probability of 0.68 to find the job. Then the joint probability for the 11 events (where the events is that each one finds a job) is the product of the probability for each one.

P = (0.68) ^11 = 0.01437

and if we round it to the nearest thousandth we get:

p = 0.014