I am stuck on this question Problem 5. In a particular population of men and women, 92% of women are right-handed, and 88% of men are right-handed. Indicate whether each of the statements below is (i) true, (ii) false, or (iii) can’t be decided from the information given.a) The overall proportion of right-handers in the population is exactly 90%.b) The overall proportion of right-handers is between .88 and .92.c) If the sex ratio in the population is 1 to 1, then the proportion of right-handers is 90%d) If the proportion of right-handers is 90%, then the sex ratio must be 1 to 1.e) If there are at least three times as many women as men in the population, then the overall population of right handers is at least 91%.
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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Problem 5. In a particular population of men and women, 92% of women are right-handed, and 88% of men are right-handed. Indicate whether each of the statements below is (i) true, (ii) false, or (iii) can’t be decided from the information given.
a) The overall proportion of right-handers in the population is exactly 90%.
b) The overall proportion of right-handers is between .88 and .92.
c) If the sex ratio in the population is 1 to 1, then the proportion of right-handers is 90%
d) If the proportion of right-handers is 90%, then the sex ratio must be 1 to 1.
e) If there are at least three times as many women as men in the population, then the overall population of right handers is at least 91%.
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