1. Let Z defined by the product of two numbers taken separately from two boxes containing 1, 2,3 and 4.

Q: A newspaper sometimes makes printing error in its advertising and is forced to corrected advertising…

A: Compute the mean of the error made in advertising. From the information, given that the probability…

Q: Why is the Method of Moments estimator, in mathematical statistics, consistent?

A: Given that:  Method of Moments estimator, in mathematical statistics:

Q: How correlation coefficient is Independent of Units of Measurement?

A: Correlation: Correlation a measure which indicates the “go-togetherness” of two data sets. It can be…

Q: Find the mean and variance of the numbers generated by rolling two die and counting the sum of the…

A: We have given that the two dice are rolled. Total number of possible outcomes = 36 The sample space…

Q: How can we use discrete random variables in statistics?

A: Solution: Discrete random variable: A variable is said to be discrete if it takes the positive…

Q: Inferential statistics is the branch of statistics that draws conclusions about (answer) based on…

A: There are two branches in statistics: Descriptive statistics  Inferential statistics

Q: need answer for expected value

A: It is an important part of statistics. It is widely used.

Q: Why is probability theory important to statistics?

A: The probability of an event:The probability of an event is obtained as the ratio of favourable…

Q: When it comes to statistics, what is quantification and how is it useful? When is it not useful?

A: Statistics: The term Statistics, in singular sense, means the aggregate of scientific methods which…

Q: What was Hasan's GPA (weighted mean) rounded to 1 d.p. ? 022 072 3.3 02.1

A: It is given that the table represents the Hasan's CW grades for semester-2.

Q: State two of the main reasons for studying the normal distribution.

A: The two main reasons for studying the normal distribution are as follows:The normal distribution is…

Q: How can we calculate the probability-weighted average of the squared deviations?

A:

Q: When can we say that populations are normally distributed?

A: Introduction: Several tests of normality exist, using which you can verify whether a particular data…

Q: 1.2 Describe in your own words, what the difference is between univariate and bivariate probability…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: How has your knowledge and understanding of statistics grown over the past few months? Have you…

A: Statistics:

Q: How do I solve frequency distribution problems? What exactly is it?

A:

Q: The variance of a probability distribution is its second moment about the mean. True or False

A: Given statement: The variance of a probability distribution is its second moment about the mean.

Q: What is the probability of a paint defect which results from the proper amount of paint, but uneven…

A: We need to find the probability of a paint defect which results from the proper amount of paint, but…

Q: How to find the mean of the random variable x

A: The mean of the random variable x will depend on the distribution of x. Every distribution has its…

Q: State three examples where similar averages are associated with very different distributions Go…

A: Given :  State three examples where similar averages are associated with very different…

Q: he following table gives the mean and standard deviation of reaction times (in seconds) for each of…

A: Formula for z-score is, For stimulus 1:   From the given information, the mean is 6.0 and the…

Q: Person 1 (X) = 1 hour, z = -0.5 Person 2 (X) = 3 hours, z= 0.5 Person 3 (X) = 4 hours, z= 1 4. Using…

A: The question is about normal dist. Given : Person 1 ( X ) = 1 hr. , z = -0.5 Person 2 ( X ) = 3 hr.…

Q: What are the rules for deteriming significant digits?

A: The rules for determining significant digits are:1. All non-zero numbers are significant   eg: The…

Q: Odds ratio can be used to approximate the relative risk when the disease under study is rare.  True…

A: Odds ratio can be used to approximate the relative risk when the disease under study is rare.

Q: Discuss in which instances can Correlation and Covariance be equal to each other for the two random…

A: We know that correlation is defined as the ratio of covariance between two variables to the square…

Q: Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 104 and…

A: Given that: Population mean, μ=104 Population standard deviation, σ=5

Q: Are the observed frequencies variables? What about the expected frequencies? Explain your answers.

A: Chi-square Distribution: If X ~ N(0,1) then X2 is known as chi-square variate. If X ~ N(µ,σ2) then z…

Q: According to the famous law of large numbers, the empirical a very large number of times.…

A: The statement you're referring to is known as the Law of Large Numbers. The Law of Large Numbers…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!