Mathematics: 5) at a local college, four sections of economics are taught during the day and two sections are taught at night. 75 percent of the day sections are taught by full-time faculty. 35 percent of the evening sections are taught by full-time faculty. if jane has a part-time teacher for her economics course, what is the probability that she is taking a night class?

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5) at a local college, four sections of economics

MogTaee

31.12.2021

0.5652

Step-by-step explanation:

We are given that 75 percent of the day sections are taught by full-time faculty

The probability a class is taught by full-time faculty, day = 0.75

The probability a class is taught by part-time faculty, day = 1-0.75 = 0.25

The probability a class is taught by full-time faculty, night = 0.35

The probability a class is taught by part-time faculty, night = 1-0.35 = 0.65

We are also given that four sections of economics are taught during the day and two sections are taught at night

The probability that she is taking a night class= $\frac{0.65 \times 2}{0.65 \times 2 + 0.25 \times 4$

= 0.5652

Hence the probability that she is taking a night class is 0.5652

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