/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 41 Thirty percent of last year's gr... [FREE SOLUTION] | 91影视

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Chapter 4: Problem 41

Thirty percent of last year's graduates from a university received job offers during their last semester in school. What are the two complementary events here and what are their probabilities?

Short Answer

Expert verified
The two complementary events are: 'a graduate received a job offer during their last semester' with a probability of 0.3, and 'a graduate did not receive a job offer during their last semester' with a probability of 0.7.

Step by step solution

01

Define the events and their probabilities

Let's denote the event 'graduate received a job offer during their last semester' as A. Since it's given that 30 percent, or 0.3, of last year's graduates received job offers during their last semester, we can write the probability of event A as P(A) = 0.3. The complementary event to A, which can be defined as 'graduate did not receive a job offer during their last semester', can be denoted as A'. The probability of this event will then be P(A') = 1 - P(A).
02

Calculate the probability of the complementary event

Now, to find the probability of event A', we subtract the probability of event A from 1: P(A') = 1 - P(A) = 1 - 0.3 = 0.7. Thus, the probability that a graduate did not receive a job offer during their last semester is 0.7 or 70 percent.

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