Answer:
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= [tex]\frac{0.65 \times 2}{0.65 \times 2 + 0.25 \times 4[/tex]
= [tex]0.5652[/tex]
Hence the probability that she is taking a night class is 0.5652
