A survey shows the following results: n = 50 where 32 subjects have a Facebook account, 20 subjects have a Twitter account, and 10 subjects have both accounts. The other respondents only have an Instagram account. Use this information to answer the following questions. a) Use the above scenario to create a Venn Diagram. b) Create a two-way table of the above scenario. Clearly label all events provide all totals. c) Find the probability that a subject is selected at random and they have a Facebook account.

Q: (2) Use Bayes' theorem to find the indicated probability. 5.8% of a population is infected with a ce...

A: Solution: Let A be the event that population infected with a certain disease and B be the event that...

Q: The ages of the members of a legislature from a particular state are listed below. Find the​ mean, m...

A: The ages of the members of a legislature from a particular state are listed in the given data .  Mea...

Q: The average student loan debt for college graduates is $25,650. Suppose that that distribution is no...

A: Given: Mean, μ= 25650 Standard deviation, σ= 14350 (b) Probability that college graduates has betwee...

Q: how many different 10 letter words (real or imaginary) can be formed with this given letters X, G f ...

A: Given: Number of letters in a word = 10 The provided letters are X G f a m p g a g r

Q: In the Oreo factory, the mean mass of a cookie is 40 grams with a quality control standard deviation...

A: In the Oreo factory, the mean mass of a cookie is 40 grams with a quality control standard deviation...

Q: To evaluate the effect of a treatment, a sample isobtained from a population with a mean of μ = 30,a...

A: Given,

Q: Too Young to Tat Based on a Harris poll, among adults who regret getting tattoos, 20% say that they ...

A: It is given that n = 5 and p = 0.20.

Q: Chelsea believes that her score on an upcoming test can be modeled by the equation y = 7.3x + 61 whe...

A: Solution: Let x be the number of hours spent studying and y be the Chelsea’s test score. From the gi...

Q: A manager gathers some demographic information from the store's customers. The following chart summa...

A: Given: Age Number of Customers <20 93 20-29 97 30-39 62 40-49 73 ...

Q: The Economic Policy Institute reports that the average entry-level wage for male college graduates i...

A: Solution: Let X be the wages of female graduates. From the given information, Y follows normal distr...

Q: Suppose that you have 8 green cards and 5 yellow cards. The cards are well shuffled. You randomly dr...

A:

Q: White-tailed does upon reaching sexual maturity at age two give birth to between one and four offspr...

A: a) The cumulative density function is, x 0 1 2 3 4 fx 0.07 0.25 0.55 0.10 0.03 Fx 0.07 0.32 0...

Q: In the Illinois Pick 3 game, you win a bet by selecting three digits (with repetition allowed) and g...

A: The number of digits from 0 to 9 is 10.

Q: Suppose that an urban geographer is studying historical changes in housing characteristics in London...

A:   studying historical changes in housing characteristics The size of the house (square feet of livin...

Q: If the population stand arge a sample is nece hat is a. less than 5 points? o. less than 2 points? c...

A: Given data: Population standard deviation is σ=10. Let the sample size be denoted by n. Standard err...

Q: A lottery offers one $1000 prize, one $700 Prize, two $300 prizes, and four $200 prizes. One thousan...

A: Given: $1000 prize = 1 $700 prize = 1 $300 prize = 2 $200 prize = 4  

Q: A quick quiz consists of a multiple-choice question with 4 possible answers followed by a multiple-c...

A: A quick quiz consists of a multiple-choice question with 4 possible answers followed by a multiple-c...

Q: if a person is randomly selected, find the probability that his or her birthday is not in July.  Ign...

A: There are 365 in a year for a non-leap year. The July month has 31 days. That is, the number days by...

Q: Scores on a standardized reading test for fourth-grade students form a normal distribution with μ=60...

A: Refer Standard normal table/Z-table OR use excel formula "=NORM.S.DIST(1, TRUE)" to find the probabi...

Q: A clinical trial is conducted on a specific drug used to treat severe migraines and it is noted that...

A:

Q: On the recent SAT English test, the scores were normally distributed with a mean of 1000 and a stand...

A: a. The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the me...

Q: All the possible samples of n = 4 scores are selected from a population with µ = 20. If the average ...

A: Given information, All the possible samples of n = 4 scores are selected from a population with µ = ...

Q: a.  A bag contains 4 green marbles, 6 white marbles, and 10red marbles. If a marble is drawn from th...

A: a. There are 4 green marbles, 6 white marbles, and 10 red marbles in the bag. Total number of marble...

Q: A sociologist randomly selects single adults for different groups of three, and the random variable ...

A: From the provided information, The mean of the random variable x can be obtained as:

Q: The five number summary of a dataset was found to be: 3, 8, 12, 17, 20 An observation is considered ...

A:

Q: A statistics teacher would like to know what percentage of students will pass the class with a grade...

A: Given: Mean μ=75 Standard deviation σ=5 Let X denote the grades

Q: The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean...

A: Given, μ=2706σ=596 Let X be the calories that the customer consumes. a). The distribution of X is no...

Q: Let X represent the full height of a certain species of tree. Assume that X has a normal probability...

A: If the sample size is large then the sample mean is approximately normally distributed. The sample m...

Q: In 2014, the New York Yankees had a team batting average of u=245.  Assuming that the distribution o...

A: a. The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the me...

Q: According to a recent survey by the National Retail Federation, men spent an average of $135.35 on V...

A:

Q: A particular fruit's weights are normally distributed, with a mean of 637 grams and a standard devia...

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean ...

Q: You want to obtain a sample to estimate a population proportion. Based on previous evidence, you bel...

A: p=0.22, q=0.7, α=1-0.95=0.05, Margin of errorE=Zα/2.pqn=0.04  

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean...

A: Let X be the reading on the thermometer. Here, X~N(0,1). Then, probability of obtaining a reading be...

Q: The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 28.3 ...

A: (a) Obtain the standard z-score for the random variable X equals 23. The standard z-score for the ra...

Q: In the 1992 presidential election, Alaska's 40 election districts averaged 2121 votes per district f...

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any ...

Q: Suppose that you sampled 2 CEOs with replacement instead. How many different samples are possible, a...

A: Sampling is a process which is used in statistical analysis. In sampling a predetermined number of o...

Q: Assume that x is a binomial random variable with n=140 and p=0.3. Use a normal approximation to find...

A: From the provided information, Sample size (n) = 140 and p = 0.3 The mean and standard deviation can...

Q: a quick quiz of a multiple- choice question with 4 possible answers,followed by a multiple-choice qu...

A: The probability that the first multiple choice problem is answered correctly is 14 and the probabili...

Q: a) Calculate the mean and variance of the following population: 60, 72, 40, 60, 88.  Mean: Variance:

A:

Q: For a population with a mean of 35 and standard deviation of 7, find the sample mean of size n = 20 ...

A: The formula to find the sample mean is, x¯=μ+zσn From the Standard Normal Table, the value of z for ...

Q: Your friend, Jaye, who is also enrolled in a statistics class, just got their grade on the first exa...

A: 1. From the given information, X=67μ=73σ=8Therefore, required Z score will be given by as follows:z=...

Q: Statistics students in Oxnard College sampled 11 textbooks in the Condor bookstore and recorded the ...

A:

Q: distributed population, find the population standard deviation, o. 49 52 55 58 61 64 46

A: Given that, From the sampling distribution, the central line is the mean value 55

Q: Which of the following pairs of variables is likely to have a positive correlation? Check all that a...

A: Correlation between two variables measure the strength and direction between two variables. It measu...

Q: A population of values has a normal distribution with 58.5. You intend to draw a random u = 187.3 an...

A: Given,

Q: Statistics Question

A: 2.Consider the following table: a.) Class boundaries Lower Class Limit(LCL) Upper Class Limit(UCL...

Q: A survey found that​ women's heights are normally distributed with mean 63.6 in. and standard deviat...

A: A survey found that ​women’s heights are normally distributed with mean 63.6 inches and standard dev...

Q: Approximately 70% of all projects at the work place were finished before the due date. Assume each p...

A:

Q: On the distant planet Cowabunga , the weights of cows have a normal distribution with a mean of 509 ...

A:  

Q: The data represent below is the average of stiffness of coil spring. The data collected from 10 samp...

A: Data represents average of stiffness of coil spring. The data collected from 10 samples, where each ...

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.