At a political meeting there are 9 liberals and 5 conservatives. We choose 5 people uniformly at random to form a committee. What is the probability that there are more conservatives than liberals on the committee?
At a political meeting there are 9 liberals and 5 conservatives. We choose 5 people uniformly...
Exercise 2.38. We choose one of the words in the following sentence uniformly at random and then choose one of the letters of that word, again uniformly at random: SOME DOGS ARE BROWN (a) Find the probability that the chosen letter is R. (b) Let X denote the length of the chosen word. Determine the probability mass function of X. (c) For each possible value k of X determine the conditional probability P(X k|X 3) Hint. The decomposition idea works...
Question 2: Agenda Setting Consider there are three groups of people in Congress: Liberals, Moderates, and Conservatives. It does not matter the size of the groups - just that none of the groups is large enough for a majority - so it requires two groups to vote a certain way for something to pass. Therefore we can treat this like three people and voting where majority rules (another example of this is you with two friends trying to decide on...
Assume that 50% of people are left-handed. If we select 5 people at random, find the probability of each outcome described below, rounded to four decimal places: a. There are some lefties (≥ 1) among the 5 people. b. There are exactly 3 lefties in the group. c. There are at least 4 lefties in the group. d. There are no more than 2 lefties in the group. e. How many lefties do you expect? f. With what standard deviation?
BENFORD 25 POINTS (A) 5 POINTS Characterize all numbersエso that 1000 has leading digit 9. (B) 5 POINTS What is the leading digit of We pointed out before that there can be ambiguity in these sorts of expressions so think of this as the result of the following recursive definition of a sequence (B)where the above is just B (C) 15 POINTS Suppose we form random numbers in the following way Pick a random digit in 0,1,2,3,4,5,6,7,8,9) with each choice...
QUESTION 5 There are 9 people on committee. 3 will be chosen to work on a subcommittee. All members of the subcommittee have the same role. How many possible ways are there choose the subcommittee?
We are playing a game of blindfolded musical chairs with 20 blindfolded people and 40 chairs. When the music stops each person picks a chair uniformly at random and sits on it. I. What is the probability that some chair has at least two people sitting on it? II. What is the probability that some chair has at least three people sitting on it?.
. 40% of the population has type A blood. a. If 9 people are selected at random, what is the probability that less than four of them have type A blood. b. If 90 donors come to give blood one day, what is the probability that less than 40 of them have Type A blood (using the normal approximation)? Explain why this is higher or lower than the answer in part (a). c. If 15 people give blood one day,...
5.what is the probability that more than 2, but fewer than 6 people live in a randomly selected household? 6.What is the probability that 3 or 4 people live in a randomly selected household? 7.Two US households are selected at random. What is the probability that in both households there are 7 or more people? 8.Two US households are selected at random. What is the probability that in both households there are more than 3 people? Imagine selecting a US...
According to a survey of 25,000 households. 49% of the people watching a special event on TV enoyed the commercials more than the event tsell. Complete parts a through e below based on a random sample of nine people who watched the special event a. What is the probability that exactly three people enjoyed the commercials more than the event? The probability is (Round to four decimal places as needed) b. What is the probability that less than four people...
Assume that 15% of people are left-handed. If 5 people are selected at random, find the probability of each outcome described below. a) Find the probability that there are exactly 2 lefties in the group. (round to four decimals) b) Find the probability that there are at least 3 lefties in the group. (round to four decimals) c) Find the probability that there are no more than 2 lefties in the group. (round to four decimals)