Cat weights. The histogram shown below represents the weights (in kg) of 47 female and 97 male cats.62
(a) What fraction of these cats weigh less than 2.5 kg?
(b) What fraction of these cats weigh between 2.5 and 2.75 kg?
(c) What fraction of these cats weigh between 2.75 and 3.5 kg?
Body weight F
2.0 2.5 3.0 3.5 4.0
Grade distributions. Each row in the table below is a proposed grade distribution for a class. Identify each as a valid or invalid probability distribution, and explain your reasoning.
Grades A B C D F
(a) 0.3 0.3 0.3 0.2 0.1 (b) 0 0 1 0 0 (c) 0.3 0.3 0.3 0 0 (d) 0.3 0.5 0.2 0.1 -0.1 (e) 0.2 0.4 0.2 0.1 0.1 (f) 0 -0.1 1.1 0 0
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