According to a study, brain weights of men in country A are normally distributed with mean 1.49 kg and standard deviation 0.11 kg. Apply the empirical rule to complete each sentence. Complete parts (a) through (d). a. Complete the sentence "Approximately 68% of the men have brain weights between kg and kg." Approximately 68% of the men have brain weights between 1.38 kg and 1.60 kg. (Type integers or decimals. Do not round) b. Complete the sentence "Approximately 95% of the men have brain weights between kg and kg." Approximately 95% of the men have brain weights between 1.27 kg and 1.71 kg. (Type integers or decimals. Do not round) c. Complete the sentence "Approximately 99.7% of the men have brain weights between kg and kg." Approximately 99.7% of the men have brain weights between 1.16 kg and 1.82 kg. (Type integers or decimals. Do not round) d. Graph the areas enclosed by each set of values in parts (a) through (c). Graph the area enclosed by the values in part (a). O A. В. C. OD. 68% 68% 68% 68% 1.38 1.60 1.38 1.60 1.38 1.60 1.38 1.60 Graph the area enclosed by the values in part (b). O A. O B. Oc. OD. 95% 95% 95% 95% 1.27 1.71 1.27 1.71 1.27 1.71 1.27 1.71 Graph the area enclosed by the values in part (c). A. В. OD. 99.7% 99.7% 99.7% 99.7% 1.16 1.82 1.16 1.82 1.16 1.82 1.16 1.82
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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