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If a group of 28 job seekers are selected at random, what is the probability that 75% or more of them have been contacted for an interview?

a. Insufficient information.
b. 0.25.
c. 0.50.
d. 0.75.

User Syclone
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1 Answer

5 votes

Final answer:

There is insufficient information provided to calculate the probability that 75% of the job seekers have been contacted for an interview. Probabilities in similar random scenarios, such as guessing on an exam, tend to be quite low without specific underlying rate data.

Step-by-step explanation:

The question regarding the probability that 75% or more of the 28 job seekers have been contacted for an interview lacks sufficient information to calculate an exact probability. To solve such a probability question, information about the overall rate at which job seekers are typically contacted for interviews would be necessary. Without this crucial piece of data, we cannot determine the likelihood of the event occurring.

However, if we consider a similar scenario where a student guesses randomly on a multiple-choice exam, we can gauge probabilities of such events. For instance, if a student guesses randomly on a 32-question multiple-choice exam with three answer choices each, the probability of guessing more than 75% (which is 24 or more questions) correctly is practically zero. This inference follows from the laws of probability and the understanding that random guesses are highly unlikely to yield a high number of correct answers on a multiple-choice test.

When dealing with random selections, whether it be job seekers or multiple choice answers, calculations for the probability often rely on defined probabilities or the assumption of a fair and random process. Without detailed information on the underlying distribution, our answer must be that the information is insufficient, denoting choice 'a' as the most appropriate answer for the original job seekers question.

User Agenthunt
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6.9k points