A study conducted at a certain college shows that 60% of the school's graduates find a job in their chosen field within a year after graduation. If 7 graduates are randomly selected, find the probability that all 7 will find jobs in their chosen field within a year of graduating. Round to 3 decimal places.

Provide work.

Question

20-03-2024
Mathematics

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A study conducted at a certain college shows that 60% of the school's graduates find a job in their chosen field within a year after graduation. If 7 graduates are randomly selected, find the probability that all 7 will find jobs in their chosen field within a year of graduating. Round to 3 decimal places.

Provide work.

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chunk3314 chunk3314 · Answer 1 · 2024-03-20T04:25:21+01:00

Answer- 0.027

To find the probability that all 7 graduates will find jobs in their chosen field within a year after graduation, we multiply the probability of one graduate finding a job by itself seven times since the events are independent.

Probability of one graduate finding a job = 60% = 0.60

Probability of all 7 graduates finding jobs = ( 0.60^7 ) Calculating: ( 0.60^7 ≈ 0.027 )

So, the probability that all 7 graduates will find jobs in their chosen field within a year of graduating is approximately 0.027 when rounded to 3 decimal places.