The Failure Rate in a German Class Is 30

question 113

Essay

The failure rate in a German class is 30%. In a class of 50 students, find the probability that exactly five studentswill fail. Use the normal distribution to approximate the binomial distribution. Round the standard deviation tothree decimal places to work the problem.

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Definitions:

Body Organization

The hierarchical arrangement of biological structures from the simplest to the most complex, defining the anatomy and physiology of living organisms.

Homeotic Genes

Genes that control the development of anatomical structures in organisms, determining the placement and spatial organization of body parts.

Segmentation Genes

Genes that play a crucial role in determining the segmented body plan of an organism during embryonic development.

Gap Genes

Genes involved in the early development of Drosophila embryos, segmenting the embryo into head, thorax, and abdomen regions; they help define the general regions of the body plan.