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.   Question 4 options:   Number the senators from 1 to 100. Use a random number generator to make a list of 10 random integers between 1 to 100 inclusive.   Take the 10 senators from the 5 largest states.   Send letters to all 100 senators. Select the 10 that reply the quickest.   Take the 10 senators who have served in the Senate the longest.   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

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: You need to choose 4 random digits to create a 4-digit code for the lock on the safe. 0000 and…

A: The lock consist of 4 digit code 1st 2nd 3rd 4th The first place can be filled in 10 ways by…

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

A: Combination: According to the combination rule, if r distinct items are to be chosen from n items…

Q: 100 people were surveyed and asked if they own a smart phone. A person is selected at random from…

A: Female Male Total owns a smart phone 46 24 70 Does not owns smart phone 18 12 30 Total 64…

Q: There are 88 students at the dance studio and 10 of them will be selected at random for cleaning…

A:

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: A keyboard has 7 keys: letters A-G. Suppose that a melody is created by playing four random keys.…

A: the 7th key can not be E,F,G. Hence for the 7th key we are left with only 4 choices.

Q: There are 91 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: The first can be picked in 91 ways  Second in 90 ways  Third in 89 ways

Q: Joe has 6 favorite baseball teams, and he put their flags on his flagpole in random order. How many…

A:

Q: There are 75 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: Solution: From the given information, there are 75 golfers. Suppose there are n objects are arranged…

Q: A group of 10 people is choosing a chairperson and vise-chairperson. They put all 19 people's name…

A: Note: given that there are total of 10 people. Thus there is only chance to put 10 peoples name into…

Q: Mr.Jarvis teaches a science class with 16 students. Jarvis must select a delegation of 5 students to…

A: Given that Mr. Jarvis teaches a science class with 16 students. Jarvis must select a delegation of 5…

Q: There are 8 people at an office meeting. How many handshake

A: Formula: If there are n persons, The number of handshakes is, nn-12

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: Several states participate in Hot Lotto, a lottery that requires choosing 5 of the numbers 1-39 and…

A: It is given that lottery  requires choosing 5 of the numbers 1 to 39. Substitute n=39,r=5 in…

Q: How many ways are there to pick a five-person basketball team from 12 possible players? How many…

A:

Q: From 10 names on a ballot, a committee of 4 will be elected to attend a political national…

A: From 10 names on a ballot, a committee of 4 will be elected to attend a political national…

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: 10 people is choosing a chairperson and vice chairperson

A: Given that   A group of 10 people = (n)=10 We have to select two people from total 10 people.…

Q: How many different committees of 3 people can be chosen from a group of 8 people?

A: Total number of people in the group are 8. Total number of people for the committee is 3.

Q: The United States Senate has 2 senators from each of the 50 states. Select all methods that would…

A: A simple random sample can be drawn through either of the two procedures i.e. through lottery…

Q: 15 participants have written their names on small sheets of paper for a raffle. Show different ways…

A: its a combination based question

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

A:

Q: There are 17 students in the club. How many ways can a committee of at most 3 students be chosen

A:

Q: Each student in a class of 30 was randomly assigned one line of a random number table. Each student…

A: Here, it is clear that 50% of odd digits and 50% of even digits.

Q: There are 12 students in a high school senior class. In how many ways could the yearbook choose one…

A: The objective of this question is to find out the number of ways in which one student can be chosen…

Q: The United States Senate has 2 senators from each of the 50 states. Select all methods that would…

A: First let us know about what is random sampling.  Random sampling is a sampling technique in which…

Q: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party Each…

A: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party.

Q: rticipate in a competition. Calculate how many different ways the first, second and third can be…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: An environmental education club has 318 members. Select all methods that would select a sample of 20…

A: the process of taking out some part of the population is called sampling. there are some techniques…

Q: A school group is deciding how to line up its 10 members for a photo. The president will go first.…

A:

Q: There is money to send four of seven student council members on a trip to Washington DC. All want to…

A: Given Information: Number of members = 7  Number of members to be send for trip = 4

Q: In a classroom there are 28 tablets which includes 5 that are defective. If seven tablets are chosen…

A: No.of defective tablets=5No.of non defective tablets=23

Q: A lottery will randomly choose a four digit number with the following procedure: 10 tiles each with…

A: Ten tiles numbered 0 to 9 are placed in a box.  Four tiles are picked one by one to form a 4-digit…

Q: A group of 10 people is choosing a chairperson and vice-chairperson.  They put all 10 people's names…

A: From the provided information, Total people in group = 10 They are choosing a chairperson and…

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.