1) You have a sample of 9 flowers from pea plants. (a) Suppose 6 of them are white, and 3 of them are purple. If you line them up in a row, how many different arrangements can you get?

Q: 2. The population consists of 1,200 people. How will a researcher choose from this population a…

A: It is given that the population consists of 1,200 people and the researcher choose a simple random…

Q: Suppose that a sample is to be taken without replacement from a finite population of size N. If the…

A: a) Sampling is without replacement scheme. The population size is N. Sample size is same as the…

Q: a) 10 samples of different Publishers are on display at an Open Day.                   Visitors are…

A: Total available sample n= 10 Number of samples to be selected r = 4

Q: 2. From a box containing 4 defective and 5 non-defective items, how many samples of size 3 are…

A:

Q: 12 In how many ways can a committee of 8 members be selected from a class of 15 students?

A:

Q: Suppose you try to conduct a presidential approval poll of 5,000 likely u.s voters you know that 25%…

A: Given Total number of voters=5000

Q: ​(a) If 400 murders are randomly​ selected, how many would we expect to be committed with a​…

A: Given: probability of murders committed, p=0.512 sample size, n=400

Q: How manly liked apples only? How many liked bananas only? How many liked cantaloupes only? How…

A: HERE from given information  define events A = students like apple B = student like banana C=…

Q: In order to conduct an experiment, 5 subjects are randomly selected from a group of 45 subjects. How…

A: It has been provided, Number of subjects that are randomly chosen (r) = 5 Total subjects (n) = 45

Q: How could you use a​ random-digit generator or​ random-number table to simulate rain if you knew…

A: Given How could you use a​ random-digit generator or​ random-number table to simulate rain if you…

Q: A district in the Ashanti region town has 102 towns and villages. If you interviewed everyone living…

A: It is given that,  A district in the Ashanti region town has 102 towns and villages. It means we can…

Q: In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females, and 12 of…

A: Given info: In a statistics class, there are 18 juniors and 10 seniors; 6 of the seniors are…

Q: 7) Suppose that a class of 20 students is assigned to write an essay. Suppose 4 essays are picked at…

A: Total number of students in class = 20 Number of essays to be picked at random = 4

Q: If you roll to fair dice (one black die and one white die), in how many ways can you obtain a 6 on…

A: # If you roll to fair dice (one black die and one white die), in how many ways can you obtain a 6 on…

Q: A shipment of 150 laptops contains 9 defective laptops. A quality control specialist chooses a…

A: Given,no.of defective laptops=9no.of non defective laptops=141total no.of laptops=150

Q: In order to conduct an experiment, 5 subjects are randomly selected from a group of 36 subjects. How…

A: The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: A2. a. A company decided to distribute 5 identical computers among its employees. In how many…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: A food company is testing 4 chocolate chip​ cookies, 5 ​crackers, and 6 ​reduced-fat cookies. If…

A: Given : chocolate chip​ cookies : 4 crackers: 5 reduced-fat cookies: 6

Q: Suppose you flip a coin and keep a record of the results. In how many ways could you obtain at least…

A: Givenyou flip th coin four times

Q: Suppose that a sample of 1200 people in the USA revealed that 125 of them are left- handed. Then the…

A: The population represents the total number of people considered such that the result of a sample…

Q: Suppose you have 3 red marbles, 2 blue marbles, and 4 yellow marbles in a bag.  What is the sample…

A: From the provided information, Total red marbles = 3 Total blue marbles = 2 Total yellow marbles = 4

Q: Suppose that jurors are selected randomlyfrom an adult population. What is the proability that all…

A: Given data, n=12 p=80%=0.80 P(X=12)=?

Q: In how many different ways can we arrange 10 experimental hamsters in 10 laboratory cages if 4…

A:

Q: If we have a population of 9 objects, in how many ways may we select a sample of 5 objects from the…

A: The population size is N = 9 Sample size is n = 5

Q: According to a​ report, 56.9​%of murders are committed with a firearm. ​(a) If 100 murders are…

A: For the given data Find  ​(a) If 100 murders are randomly​ selected, how many would we expect to be…

Q: ag contains 1 red, 1 black, and 1 green marble. I randomly select 1 of the marbles and record its…

A: We see that the bag contains 1 black, 1 red and 1 green marble. One marble is selected, the color is…

Q: We want to form two groups of 7 out of 14 students. In how many different ways can this be done?

A:

Q: Suppose you play a "daily number" lottery game in which three digits from 1-9 are selected at…

A: Given,no.of digits from 1-9 =9

Q: In how many ways can we distribute 10 indistinguishable oranges and 1 tangerine among 3 children…

A:

Q: 39. How many groups can be formed from  8 students taking at least 2 at a time?

A:

Q: How many permutations are required to be sure of predicting the outcome of tossing a six sided die…

A:

Q: 10. In how many ways can we select a group of 2 men and 3 women out of three men and four women…

A: Determine the number of ways in which 2 men and 3 women out of three men and four women can be…

Q: A2. a. A company decided to distribute 5 identical computers among its employees. In how many…

A: The number of identical computers is 5. The number of distinct people is 3. Since, each employee…

Q: How many different “3 of a kind”s are there in Yahtzee?

A: Consider the provided question, We need to find the number of different ways in which  "3 of a…

Q: In order to conduct an experiment, 4 subjects are randomly selected from a group of 47 subjects. How…

A:

Q: Suppose we have a set of 37 lightbulbs, and we wish to select a random sample of 5 distinct bulbs…

A: Given a set of 37 lightbulbs, we need to choose a distinct random sample of size 5 from this set,

Q: Example 53. In an examination a candidate is required to answer 6 out of 10 questions which are…

A:

Q: 2. In how many ways can five students queue for tickets for a show?

A: The number of ways in which five students queue for tickets for a show is           5!  ways…

Q: Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows.…

A: Sampling distribution of the sample mean is an important concept in statistics.

Q: A biologist is studying the composition of birds on a lake and counts 61 ducks, 17 geese, 11 cranes,…

A:

Q: 2.4.4 A bag contains 1 red, 1 black and 1 green marble. I randomly select 1 of the marbles and…

A:

Q: - A pollster randomly selected 4 of 10 available people. How many different groups of 4 are…

A: A combination is the arrangement of m items out of a list of n, where the order doesn't matter.  It…

Q: 2) The Math Club consists of 15 members. Four of them will represent the school in a math…

A: Given Total number of members of Math Club is = 15

Q: How many distinct permutations can be made from the word “DYNAMICS”? 5. How many outcomes are…

A: Given the questions

Q: How many possible sample of size n=3 can be drawn from a population of size 12

A: Given - Population size = N = 12 Sample size = n = 3

Q: 1. The quality control team of an auto-parts manufacturing company accounted that there are 7…

A: Given:Total models = 55000 per year7 defective model for every 1100 models

Q: A research design where one group is tested in one conditions and another group is tested in another…

A: Statement: A research design where one group is tested in one conditions and another group is tested…

Q: 1. A bag of balls contains 5 different colored balls that are alike except for the color. The colors…

A:

Q: 2. You were tasked to take charge of the auditions for the female parts of a stage play. In how many…

A:

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.