(a) Ministry of Higher Education (MOHE) put a guideline that maximum of 30% students are allowed to be in campus to control the spread of Covid-19. In average, 13 students will come to Statistics class with standard deviation of 3 students. A sample of 20 students are chosen. Find probability that the average number of students come to Statistics class is less than 15?
Solution:
"P( \nX\n\n <15)=P(Z< \\dfrac{15-13}{\\dfrac{3}{\\sqrt{20}}}\n )=P(Z<2.98)=0.9986"
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