What are two tools which test how close the dispersion of data matches the distribution shape of a normal curve?

Q: If X is a discrete uniform random variable ranging from 1 to 8, find P(X > 1).  a. 0.7500 b. 0.8750…

A: It is given that X is a discrete uniform random variable ranging from 1 to 8.

Q: The test statistic of z = 2.18 is obtained when testing the claim that p *0.187. a. Identify the…

A: Given,Test statistic, z = 2.18Claim is, Level of significance, α = 0.01

Q: Draw an appropriate tree diagram, and use the multiplication principle to calculate the…

A: Given,Probability of rain today, P(rain today) = 70% = 0.70So, probability of no rain today, P(no…

Q: a biscuit tin contains 8 bourbons and some digestives. there are n biscuits in total in the tin. Roy…

A:

Q: We are throwing darts at a disk (i.e. a filled in circle) shaped board of radius 5. We assume that…

A: The provided information is as follows:The number of times throwing a dart is .The radius of a…

Q: November 6, 2012 was election day. Many of the major television networks aired coverage of the…

A: Let X be the amount of time. X1232711207097451557330709040168698615653610768521268666

Q: A survey asked 850 respondents about their highest levels of completed education. The results are…

A: A sample of 850 respondents about their highest levels of completed education.

Q: me please: Suppose X1, X2 ∼ Unif(0, 1) and are independent. Let

A: We have given that X1, X2 ∼ Unif(0, 1)

Q: the outcomes. 1. What is an appropriate sample space for this experiment? a. S = {AAA, N, TT, R, I,…

A: It is given that the word ANTARTICA.

Q: In a science fair project, Emily conducted an experiment in which she tested professional touch…

A: Given:1. Emily conducted an experiment with 304 trials.2. She used a coin toss to select either her…

Q: Problem 2. Exponential Distribution. A factory has a set of 10 machines. Each of these machines will…

A: Given that the failure time T of the machines is exponentially distributed with parameter λ=2,…

Q: The population mean and standard deviation are given below. Find the required probability and…

A: sample size(n)=75Mean()=223standard deviation()=5.9

Q: In an Ontario university classroom full of candian student only, there are six more students from…

A: Given thatIn an Ontario university classroom full of Canadian students only There are six more…

Q: What is an example of a summative assessment that you could use to evaluate mastery in meeting the…

A: The statement is "After the lesson on rounding two- and three-digit whole numbers, the students will…

Q: (b) The expression for the joint probability density function of the transformed random variables U…

A: X and Y are independently uniformly distributed random variables over the interval (0,1).…

Q: Imagine you have a bag containing 5 red, 3 blue and 2 orange chips. If drawing without replacement,…

A: Imagine you have a bag containing 5 red, 3 blue and 2 orange chips.

Q: Consider two continuous random variables Y and Z, and a random variable X that is equal to Y with…

A: To find the PDF of random variable X, you can express X as a mixture of the PDFs of Y and Z.

Q: Example: Two cards are drawn from a standard of 52 cards. What is the probability that the second…

A: Two cards are drawn from a standard of 52 cards.

Q: The lifetime X (in hundreds of hours) of a certain type of vacuum tube has Weibull distribution with…

A:

Q: 6. For S, the set of letters in the word KEYBOARD A, the set of vowels in the word, and B, the set…

A: According to guidline we are supposed to solve first three part only,rest can be submitted.

Q: The Federal Bureau of Investigation reported the statistics in the following table for homicides in…

A: WeaponNumberHandgun6358Rifle344Shotgun410Unknown firearm1948Cutting1828Other weapons1877Hands, feet,…

Q: Prove that if X and Y are non-negative independent random variables, then X^2 ⊥ Y ^2.

A: To prove that if X and Y are non-negative independent random variables, then X^2 and Y^2 are…

Q: 6) Scores on an examination are assumed to be normally distributed with mean 78 and variance 36.…

A: From the provided information,X~N (78, 6)

Q: The spinner below is spun three times. If the spinner lands on a border, that spin does not count…

A: 1 cyan2 blue3 red_________6 total sectorsP(blue)=2/6=1/3P(cyan)=1/6P(red)= 3/6=1/2

Q: Suppose that a student rolls two balanced dice three times in a row. What is the probability that on…

A: There are 6 number on each die so the total number of outcomes=6×6=36

Q: Suppose that the distribution of the lifetime of a car battery produced by a certain car company is…

A: Let X be the lifetime of a car battery produced by a certain car company.Given, X is approximated by…

Q: Based on your reasoning that the location of the second hand of a clock when the teacher walks…

A: Hello! As you have posted more than 3 sub-parts, we are answering the first 3 sub-parts.  In case…

Q: SCUBA divers have maximum dive times they cannot exceed when going to different depths. The data in…

A: Given observation and calculation is shown belowDepth (X)Dive time…

Q: Identify the reasons the following statements are incorrect. Not all reasons will be used.…

A: Correlation is used to find the relationship between two quantitative variables. The range of…

Q: Based on an analysis of sample data, an article proposed the pdf f(x) = 0.55e-0.55(x - 1) when x 2 1…

A: Let X be the time spent at the median line.Given that, the pdf of X is

Q: According to the following contingency table, if a student attends a religious school, how likely…

A: It is required to find the probability that a student attends a religious school in a rural area, if…

Q: You went to a clinic to visit the doctor. There were 4 patients ahead of you in the waiting room.…

A: Given that there are 4 patients ahead in the waiting room. Their waiting times to meet the doctor…

Q: A machine can be in one of four states: ‘running smoothly’ (state 1), ‘running but needs adjustment’…

A: The idea is to describe plainly the event that is given in the form of a mathematical…

Q: Is there a simpler way to solve this solution by P= A/B

A: The number of questions, The True or False question has two options. So, the probability of success,…

Q: Let X and Y be independent random variables representing the lifetime (in one billion years) of Type…

A: Given data is mean of X is 3mean of Y is 11we have to find the variance of the total life time of 3…

Q: Which is more likely: 9 heads in 10 tosses of a fair coin, or 18 heads in 20 tosses of a fair coin?…

A: 9 heads in 10 tosses of a fair coin, or 18 heads in 20 tosses of a fair coin Let X denotes the…

Q: In a lottery game a single ball is drawn at random from a container that contains 25 identical balls…

A: Container contain 1 to 25 numbered identical balls

Q: An experiment was carried out to compare electrical resistivity for six different low-permeability…

A: Answer Given The number of mixtures = 6K = 6The number of observations, n = 26DF [Mixture] = K- 1 =…

Q: Suppose that we have the following model for LeBron James shooting free throws the probability he…

A: The provided information is as follows:The probability that he makes a free throw is .The total…

Q: X₁~N(0,1),i=1,..., n and they are independent of each other, then X₁ + X ( ) distribution.

A: Given that, they are independent of each other.We are asked to find the distribution of .

Q: Question 1 how many ways girls be selected for the end and three 8 boys Can from 10 boys and 5 girls…

A: Number of boys = 10Number of girls = 5

Q: Racquet Centers, Inc. (RCI) is a small investment company. The company is considering building a new…

A: A decision tree is a graphical representation of possible outcomes based on different decisions.

Q: 1. The discrete random variables X and Y have known joint probability mass function [c x=0,1,2,L,9,…

A: Given that the discrete random variables X and Y have known joint probability mass function:The…

Q: Suppose X₁, X2, and X3 are independent random variables where X₁~ N(μ₁ = 1,0²= 1²) X₂~ N(₂=2,0²2…

A: Hello! Since you have posted 3 different questions, we are answering the first question with three…

Q: Find the indicated probability and interpret the result. From 1975 through 2020, the mean annual…

A: Given,Population mean, μ = 652Population standard deviation, σ = 1541Sample size, n = 35

Q: 4. The port authority has denied the shipment of the cargo ship from China to Malaysia due to…

A: Given the standard size of the 20 foot container according to ISO 668:2013 is . The sample for 10…

Q: (a) Use this equation to derive a more general expression for a 100(1-a) % CI for μ of which the…

A: Given,Let 0,\alpha_{2}>0 \)" data-mce-style="cursor: default;">α1>0,α2>0  with α1+α2=α…

Q: Given_n(A^B) =23___,_n (A) =46, n(B)=51, calculate n(AUB)=?_and enter your answer in the box…

A:

Q: Using the contingency table below, we can find probability is _____ that a student attends a public…

A: The contingency table is given below: Type of schoolLocationPublicReligiousOther PrivateRow…

Q: 4.2 An equipment consists of 9 components, each of which will independently fail with a probability…

A: Given:There are 9 components.Each component fails independently with a probability p.The equipment…