The United States Senate has 2 senators from each of the 50 states. Select all methods that would select a sample of 10 senators at random from the entire Senate. A: Take the 10 senators from the 5 largest states. B: Take the 10 senators who have served in the Senate the longest. C: Place the names of all 100 senators on individual slips of paper placed into a bowl. Thoroughly mix up the slips and then select 10 of them. D: Send letters to all 100 senators. Select the 10 that reply back the quickest. E: Number the senators from 1 to 100. Use a random number generator to make a list of 10 random integers between 1 and 100 inclusive.

Q: A store is hiring 5 new stockers for their evening shift. 10 equally qualified students apply for…

A: Here we using the formula: The number of ways to select p people from a total of n people is:

Q: A committee of 2 people is selected at random from 5 doctors:Alam, Bartolini, Chinn, Dickson, and…

A: The total number of outcomes is 5. a. The total number of favourable outcomes so that Chinn is on…

Q: There are five pictures but only four display cases. The display cases are unique. How many…

A: The number of pictures is 5. The number of display cases is 4. The display cases are unique.

Q: There are 19 finalists in a singing competition. The top four singers receive prizes. How many ways…

A: There are 19 finalist in the singing competition. Top 4 singers receives prizes. The number of ways…

Q: In a random sample of 100 scholars, 47 scholars selected King for Vice President . If the total…

A:

Q: The city of Raleigh has 9200 registered voters. There are two candidates for city council in an…

A: The objective of the question is to identify the target population for the survey conducted before…

Q: The research director of NASA must choose three experiments to send to the International Space…

A: The total number of experiments proposed = 17 Number of experiments need to be chosen = 3 We have to…

Q: Four members from a 14 members committee are to be randomly selected to serve as a Chair, a…

A: The number of members is 14.

Q: The Managing director of a company wishes to form a committee consisting of 4 members from a pool of…

A: We have to find no of different combinations possible.

Q: Horace Horsecollar is interested in the opinion of vacationers at Disney World.  He creates a short…

A: We know that in Systematic sampling method, we choose the first unit randomly and all the other…

Q: eight students from a pool of nine female students and seven male students are to be selected to…

A: Given, There are nine female students and seven male students. We want to select eight students.

Q: A political scientist surveys 40 of the current 138 representatives in a state's congress. What is…

A: Determine the size of the sample from the given data. The size of the sample from the given data is…

Q: to win a lotto in one state, one must correctly select 6 numbers from a collection of 5 numbers (one…

A: In the question, it has to be select 6 numbers from a collection of 55 numbers (one through 55),…

Q: How

A: A planning committee for a major development project must consist of five architects, four engineers…

Q: A restaurant has a menu with 3 appetizers, 8 entrées, 4 desserts, and 3 drinks. How manyd ifferent…

A: 3 appetizers, 8 entrées, 4 desserts, 3 drinks.

Q: There are 30 runners entered in this year’s Terre Haute Marathon race. How many different ways can…

A: Given: 30 runners have entered a Marathon race. Required: To find the number of different ways 30…

Q: How many different committees of3 students (2 male and 1 female) can be formed from a group of 6…

A: Number of total student is 6 (4 male and 2 female) Number of member for committee is 3 (2 male and 1…

Q: How many 7-member committees could you form from a set of 10 people?

A: Given: Total number of individuals=10Number of members to be taken in 1 committee=7

Q: A coffee shop serves 14 different kinds of coffee drinks. How many ways can 5 different coffee…

A: The objective is to find the number of ways in which 5 different coffee drinks can be selected from…

Q: A committee of students and teachers is being formed to study the issue of how much they all love…

A: Given: 16 teachers and 35 students Total = 51 members  At least 2 teachers and at least 2 students…

Q: For a school project, 3 students need to produce a sample of students at their school. Which of the…

A: Random sampling a.k.a. simple random sampling (SRS) is a sampling technique of taking a subset of…

Q: There are 30 people in the class. We need to select 5 people to form a the committee, how many…

A:

Q: How many first place votes are needed for a majority?

A: We have to find how many first place votes are needed for a majority.

Q: the average length of books in her library. She has divided her books into a few different…

A: A type of random sampling known as stratified sampling. It divides a population into smaller…

Q: If the population of NM = 2.097 million persons and Dona Ana county has a population of 218,185. The…

A: Given: Total population of NM(n) = 2.097 million = 2097000 Population of Dona Ana county (x)= 218185

Q: A manufacturing unit has to appoint a committee consisting of 4 people. There are 9 eligible…

A: Given , A manufacturing unit has to appoint a committee consisting of 4 people. ie, There are 9…

Q: there are 5 faculty, 4 students, and 3 office staff eligible to serve on a 6 person committee. how…

A: At most 1 means 0 or 1 faculty member If there are 0 faculty members then we have to select 6…

Q: Over forty states participate in Mega Millions, a lottery that requires choosing five of the numbers…

A:

Q: What is the size of the sample:  What is the size of the population:

A: A political scientist surveys 30 of the current 129 representatives in a state's legislature.

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.