79% of the US adults think that political correctness is a problem in America today. You randomly select six US adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the numbers of US adults who think that political correctness is a problem in America today. Find the mean of the binomial distribution.

Q: The margin of error increases if the sample size increases. True False

A: Margin of error is given by, MoE= z*sigma/√n  MoE is inversely proportional to n so as we increase…

Q: A political geographer wants to use a random sample of British voters to determine if the percentage…

A: We have given that the percentage of voters supporting exit from the European Union is larger for…

Q: Hello, How do you set up and solve? Thank You!

A: Variance of the sampling distribution of the proportions:Consider p-hat as the sample proportion and…

Q: There are three children aged 3, 4, and 5 in a room. If another 4-year-old child enters the room,…

A:

Q: Describe how to Convert a Sample Mean to z.

A: z-score denotes the standardized normal score.

Q: Determine whether the given procedure results in a binomial distribution. If it is not​ binomial,…

A:

Q: Advertisers contract with Internet service providers and search engines to place ads on websites.…

A: Refer Standard normal table/Z-table to find the probability of z=0.63 & z=-0.63.

Q: What is Random Assignment?

A: Random assignment is when a research group (i.e. an experimental group or a control group) is…

Q: The median of a sample is the most frequently occurring value in the sample. A) True False

A: The median is the value that separates the higher half of the data from the lower half of the data.

Q: Find the variance of the number of storms in August.

A: X: Number of thunderstorms in August.

Q: Suppose we flip a fair coin 50 times. What is the variance of the number of heads? Type your…

A:

Q: The smaller the spread of scores around the arithmetic mean....?

A: The standard deviation is a measure of dispersion. It measures the variability in the data. If the…

Q: ) If the probability of a student receiving financial aid is 0.72, find the mean and variance of the…

A: Given: probability of a student receiving financial aid is 0.72 p=0.72 number of students(n)=40000

Q: Estimate the the sample variance

A: Given, n=6 α=1-0.80=0.20 The sample mean and than the sample  variance is obtained as-…

Q: What do you mean by Random Sample?

A:

Q: Think of 5 situations with equally likely events and find the sample space.

A: Events are said to be equally likely if each outcome has equal chance of being occur.

Q: The pie chart shows the responses of a sample of 336 small business owners who were asked whether…

A: Option A is correct

Q: The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's…

A: Given, n=119, x=31, α=0.05 Then, p^=31119=0.260504

Q: A pharmaceutical company claims that a drug is effective in treating 90% of people having severe…

A: Binomial distribution:The probability mass function for binomial distribution is,

Q: The mean of the sampling distribution of the sample mean is smaller than the mean of the…

A: According to Central limit theorem, when repeated sample of size n is drawn from a population with…

Q: A fair coin is tossed 50 times, what is the mean and variance of getting a tail?

A: Since , the fair coin is tossed 50 times. Our aim is to find the mean and variance of getting tail.…

Q: Sixty percent of families say their children have a significant influence on their daily dinner menu…

A:

Q: Is the sample mean always the most frequently occurring value? If so, explain why. If not, give an…

A: No, Sample Mean is not the most frequent Occuring Value.   Mean= Sum of Observations / No.of…

Q: what is the  z score of 128,101,116,119,131 when the mean is 119 and variance is 36

A: It is given that  Mean, μ = 119 Variance, σ2 = 36 Standard deviation, σ = 6 Z-Score, Z = ( X - μ )/σ

Q: Compare and contrast negative binomial, binomial and geometric distribution.

A: Binomial Distribution gives the probability distribution of a random variable where the binomial…

Q: According to the Internal Revenue Service, 75% of all tax returns lead to a refund. A random sample…

A: From the provided information, 75% of all tax returns lead to a refund so the population proportion…

Q: The CEO of an airline estimates that 15% of all flights arrive late. How many flights must he…

A: Given Information: Proportion p=0.15 Confidence level = 96% = 0.96 Significance level α=1-0.96=0.04…

Q: What is mean of the Sampling Distribution of the Mean?

A:

Q: Get the variance of the sampling distribution

A: The sample mean is given by 87.8 and we have to calculate the sample variance.

Q: The Public Citizen's Health Research Group studied the serious disciplinary actions that were taken…

A: ii) The random variable X be the number of serious actions per 1,000 doctors which follows Poisson…

Q: Sixty-three percent of U.S. households have a personal computer. In a random sample of 400…

A:

Q: A telecommunications company knows that 90% of their customers own smart phones. Ten customers are…

A: Let "X" be the customers who own smartphones. The variance of the binomial distribution is given by

Q: In a survey,  55% of the voters support a particular referendum. If 40 voters are chosen at random,…

A: Given that, 55% of the voters support a particular referendum.  Sample size = 40

Q: You randomly selected one sample of 40 citizens of your city to see if they wanted to increase taxes…

A: See the solution

Q: How would you describe each distribution?

A: According to a gallup survey of boys 77% of boys had played computer games in the past week compared…

Q: from year s of teaching ,a statsitics profeessor knoes  that Amy , her student 's  test scre  will…

A: Introduction: Chebyshev's inequality says that at least 1-1/K2 of data from a sample must fall…

Q: A data sample has a mean of 107, a median of 122 and a mode of 134. The distribution of the data is…

A: Skewness of a distribution

Q: . Suppose the proportion of American adults who work at home is 40%. For a random sample of 100…

A: Solution-: Given: n=100, P=0.40 (Population proportion) Let, p^- be the sample proportion

Q: How does the concept of probability and the distribution of sample means relate to the testing of a…

A: We know that the sample mean distribution will be either normal distribution or T distribution. If…

Q: pooled variance is 135.

A:

Q: Calculate the variance of a sample for which n=5, sigmax^2=1320, sigmax=80

A: Given data n=5∑x2=1320∑x=80

Q: 7. In Camarillo, the mean home price is $675K. If the median home price is $630K, and the mode is…

A: 7) The mean is 675, median is 630 and mode is 580.

Q: A researcher wants to know if taking statistics improves critical thinking skills. She randomly…

A: Given that, A researcher wants to know if taking statistics improves critical thinking skills. She…

Q: Define random variations?

A: The question is about time series analysis Introduction : Time Series : It is a statistical…

Q: Five cards are dealt from a deck of cards without replacement. The number of hearts is counted. Why…

A: Introduction to binomial distribution:Consider a random experiment involving n independent trials,…

Q: what happens to the mean as the sample size increases?

A: It is given that the sample size is increasing.

Q: The symbol ¯xx¯ represents the mean of the sample. True False

A: The given statement is TRUE. Because, the symbol x-bar represents the mean of a sample.

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.