Question

A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation. find the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating. round to the nearest thousandth if necessary.

Answer 1

65%= 0.65.  The probability that all 11 selected graduates found a job in their chosen career would be (0.65)^11, because the probabilities are independent (one person getting a job in their field does not influence another person getting a job in their field).  This comes out to 0.009 to the nearest thousandth.

Answer 2

The probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is $0.009$ (round to the nearest thousandth).

According to the question, at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation.

At random 11 candidates are selected from the college so, the probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is-

$(0.65)^{11}=0.00875\\(0.65)^{11}\approx0.009$

Hence, the probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is $0.009$ (round to the nearest thousandth).

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