Question 1186149: Can you help me with this question please.
Data on college graduates' employment indicate that 40% of the graduates find a part-time job within a year of their graduation, 35% of them find a full-time job and the rest of them are unemployed.
Round your final answer to 1 decimal place and express your answer in percent form (i.e. 30.0% instead of 0.3)
If we randomly select 4 graduate students within a year of their graduation, what is the probability that at least one of them has a job (full-time or part-time)?
Answer by ikleyn(52771)   (Show Source):
You can put this solution on YOUR website! .
Data on college graduates' employment indicate that 40% of the graduates find a part-time job within a year of their graduation,
35% of them find a full-time job and the rest of them are unemployed.
Round your final answer to 1 decimal place and express your answer in percent form (i.e. 30.0% instead of 0.3)
If we randomly select 4 graduate students within a year of their graduation,
what is the probability that at least one of them has a job (full-time or part-time)?
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The probability that one single college graduate student has a job within a year of the graduation is 0.4 + 0.35 = 0.75.
The probability that one single college graduate student is unemployed within a year of the graduation is
the complement to it, i.e. 1 - 0.75 = 0.25.
The probability that of 4 randomly selected college graduate students all 4 are unemployed is, therefore,
P = 0.25^4 = 0.0039
The probability that of 4 randomly selected college graduate students at least one has has a job is the COMPLEMENT to it, i.e.
1 - 0.25^4 = 1 - 0.0039 = 0.996 = 99.6%. ANSWER
Solved, answered and explained.
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