# Question: The following data were given in a study of a

The following data were given in a study of a group of 1000 subscribers to a certain magazine: In reference to job, marital status, and education, there were 312 professionals, 470 married persons, 525 college graduates, 42 professional college graduates, 147 married college graduates, 86 married professionals, and 25 married professional college graduates. Show that the numbers reported in the study must be incorrect.

Let M, W, and G denote, respectively, the set of professionals, married persons, and college graduates. Assume that one of the 1000 persons is chosen at random, and use Proposition 4.4 to show that if the given numbers are correct, then P(M ∪ W ∪ G) > 1.

Let M, W, and G denote, respectively, the set of professionals, married persons, and college graduates. Assume that one of the 1000 persons is chosen at random, and use Proposition 4.4 to show that if the given numbers are correct, then P(M ∪ W ∪ G) > 1.

**View Solution:**## Answer to relevant Questions

If it is assumed that all poker hands are equally likely, what is the probability of being dealt (a) A flush? (A hand is said to be a flush if all 5 cards are of the same suit.) (b) One pair? (This occurs when the cards have ...Consider the following technique for shuffling a deck of n cards: For any initial ordering of the cards, go through the deck one card at a time and at each card, flip a fair coin. If the coin comes up heads, then leave the ...Two cards are chosen at random from a deck of 52 playing cards. What is the probability that they (a) Are both aces? (b) Have the same value? If 4 married couples are arranged in a row, find the probability that no husband sits next to his wife. Two fair dice are rolled. What is the conditional probability that at least one lands on 6 given that the dice land on different numbers?Post your question