5. If 4 married couples are arranged in a row, find the probability that no husband...
I. At a certain school, 60% of the students wear neither a ring nor a necklace, 20% wear a ring, 30% wear a necklace. Compute the probability that a randomly selected student wears (a) a ring or a necklace; (b) a ring and a necklace 2. A school offers three language classes: Spanish (S), French (F), and German (G). There are 100 students total, of which 28 take S. 26 take F, 16 take G, 12 take both S and...
2: Exercise 1.24. There are n married couples arranged at random in a row. 1. Find the probability that no husband sits next to his wife. 2. Compute this probability explicitly when n 3.
Exercise 1.52. Three married couples (6 guests altogether) attend a dinner party. They sit at a round table randomly in such a way that each outcome is equally likely. What is the probability that somebody sits next to his or her spouse? Hint. Label the seats, the individuals, and the couples. There are 6! 720 seating arrangements altogether. Apply inclusion-exclusion to the events Ai = (ith couple sit next to each other2, 3. Count carefully the numbers of arrangements in...
Suppose that the observational units in a study are opposite-sex couples married in CA in 2016. For each of the following, indicate whether it can legitimately be considered (1) a categorical variable, (2) a quantitative variable, (3) a statistic, or (4) none of the above. Explain each choice briefly. a. The percent of couples in which the woman is older than the man. b. The average age (of the husband and the wife). c. Age difference (between the husband and...