Read each prompt below to determine which type of Distribution; Binomial, Geometric or Poisson, is being demonstrated.  Then solve each problem, with a supporting process.   2.)  The Statistical Bulletin published by Metropolitan Life Insurance Company reported that 2% of all American births result in twins.  If a random sample of 5000 births is taken: a.)  Determine the Expected Value and Standard Deviation. b.)  Would it be considered unusual to have 118 twins?  Explain.

Q: Q2. According to a PNC Financial Independence Survey released in March 2012, today's U.S. adults in…

A:

Q: In a study of births in 2007, it was found that 51% were male and 49% were female. If 100 people are…

A: Given that there are 51% are male and 49% are female & if 100 people selected randomly we have…

Q: Given the following data for an imaginary superhero universe: Flying Telepathy Super…

A:

Q: 1. A shopping mall estimates the probability distribution of the number of stores mall customers…

A:

Q: Your company makes lamps. 96% pass final inspection (and 4% fail and need to be fixed). a) If we…

A: Given,n=20p=0.96Let X=no.of lamps pass final inspection.X~Binomial(n=20 , p=0.96)P(X=x)=cxn…

Q: The Blue Roof Inn overbooks two rooms a night. Roomrates run $100 a night but cost only $30 to…

A: No shows Probability 0 0.30 1 0.20 2 0.10 3 0.30 4 0.10 1] room rates =$100

Q: Question. The time needed to complete a final examination in a particular college course is normally…

A: In probability theory, a normal distribution is a type of continuous probability distribution for a…

Q: At the Grand Teton National Park, a ranger watches for moose evey moming in August. The number of…

A:

Q: The Virginia Cooperative Extension reports that the population mean weight of yearling Angus steers…

A: Given,Mean μ = 1152Standard deviation σ = 84Let X denote the weight of a randomly selected yearling…

Q: 3 4 Percentage 44% 36% 15% 4% 1% a. Find the probability that a fisherman selected at random catches…

A: Given Information: x 0 1 2 3 4 Percentage 44% = 0.44 36% = 0.36 15% = 0.15 4% = 0.04 1% = 0.01…

Q: The Bank of Hawaii reports that 7% of its credit card holders will default at some time in their…

A: It is a binomial distribution, as either the cardholder will default, or it won't, and the…

Q: Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength 32…

A:

Q: The number of cars sold per day at a local car dealership, along with its corresponding…

A: Given data is X 0 1 2 3 4 P(X) 1/10 2/10 3/10 2/10 2/10

Q: According to the Internal Revenue Service, the length of time for an individual to complete (learn,…

A: We know that if; X~Normal(μ, σ)⇒X-μσ~Normal(0,1)andX1, X2,..., Xn~Normal(μ, σ)⇒X¯~Normalμ,…

Q: Please show the bell curve illustrations and please show ever step. Please do not skip a step so I…

A: Given Population mean μ=24000, population standard deviations σ=8000  P(X≥20000)=?

Q: If random samples, each with n= 4 scores, are selected from a normal population with µ = 80 and o =…

A: The standard error for the distribution of sample means is the standard deviation of the sample…

Q: Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female…

A: From the provided information,   Flying Telepathy Super Strength Total Female 96…

Q: 3. The number of cars sold per day at a local car dealership, along with its corresponding…

A: Given

Q: Although studies continue to show smoking leads to significant health problems, 20% of adults in a…

A: From the provided information, 20% of adults in a country smoke. Sample size (n) = 150 adults…

Q: State Farm Insurance studies show that in Colorado, 60% of the auto insurance claims submitted for…

A: Solution: Let X be the number of claims made by males under the age 25 and n be the sample number of…

Q: Calculate the following probabilities using the Poisson Distribution Round to 3 decimal places a.…

A: Poisson Distribution: A discrete random variable X is said to follow Poisson distribution with…

Q: 2. The manufacturer of a certain brand of Wi-fi device claimed that their products have speed limit…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: Calculate the following probabilities using the Poisson Distribution Round to 3 decimal places a.…

A: We have to find the probabilities using the poisson distribution for given mean values.

Q: Suppose that, as part of a game at a charity carnival, players are invited to spin a wheel for a…

A: Given Information: Sample size (n) = 40 p = 0.55 For large samples, the sample proportion is…

Q: on a particular Saturday. On a typical Saturday, how many cars does he expect to sell? What is the…

A: Here , we want to find the following :  a) How many cars does he expect to sell b) Variance

Q: Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female…

A:

Q: Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female…

A: In the question it is asked to calculate empirical probability of randomly selected female superhero…

Q: Calculate the following probabilities using the Poisson Distribution Round to 3 decimal places a.…

A: The Provided information are: Calculating the probability using Poisson Distribution If X follows…

Q: Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female…

A: Total female superheroes = 78 + 87 + 32 = 197 Female superheroes who can fly = 78

Q: VILH pets on a randomly selected city block is described by the following probability distri umber…

A: Solution

Q: 25. Given the following data for an imaginary superhero universe:    Flying   Telepathy   Super…

A: Total (70+25)=95 superheroes have telepathy power.  There are total (95+70+16+12+25+88)=306…

Q: It is assumed that requests to a server with an average of 16 requests per minute are poisson…

A:

Q: 4. The local pizza parlor prepares more than a hundred of pizzas a day, and the weights may vary.…

A:

Q: superhero

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 9.6 inches,…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: Records of a health insurance company show that 30% of its policyholders over 50 submit a claim…

A: 30% of the policyholders over 50 submit a claim during the year. So, the probability that a…

Q: Among employed women, 25% have never been married. Select 10 employed women at random. A. The…

A: Since, you have you have posted a question with multiple subparts we will solve first three subparts…

Q: a.) Is the distribution of commissions positively skewed, negatively skewed, or symmetrical? b.)…

A: we are given that  mean = 1385                              median = 1330…

Q: 4. According to a 2019 Federal Reserve report, 54% of U.S. young adults who went to college took on…

A:

Q: Given a normal distribution with μ=103 and σ=15​, and given you select a sample of n=9​, What is…

A: GivenMean(μ)=103standard deviation(σ)=15sample size(n)=9

Q: Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female…

A: In the question we have to find the probability of a randomly selected female superhero will have…

Q: A particular telephone number is used to receive both voice calls and fax messages. Suppose that 20%…

A: (a)   Obtain the expected number of calls among the 20 that involve a fax message.   The expected…

Q: Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female…

A:

Q: Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female…

A: The table given in the problem represents the superhero data. From the table, The total number of…

Q: Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female…

A: Total 47 female superheroes can fly.  There are total (47+42+45)=134 female superheroes.  So the…

Q: Assume a binomial probability distribution has p = .60 and n = 200.a. what are the mean and standard…

A: Given: Number of trials (n) = 200 Probability of success (p) = 0.60

Q: 1) A private entity has recorded that the population average of unemployed persons per year in a…

A: From the given information n = 100 μ=230 x=24 σ=2

Q: 25. Given the following data for an imaginary superhero universe: Flying Telepathy Super…

A: To find; The empirical probability that a randomly selected superhero will have super strength?

Q: 31. The amount of cola in a 12-ounce can is uniformly distributed between 11.96 ounces and 12.05…

A: We have to find given probability.

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.