Suppose that a linear probability model yields a predicted value of Y thatis equal to 1.3. Explain why this is nonsensical?

Q: Which type of distribution can the Poisson model be used to approximate? When would you do this?

A: We need to use the concept of approximations

Q: If random variable X has a binomial distribution with 14 and P(success) 0.3, find the mean of X

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Q: what is a gaussian distribution?

A: Gaussian distribution (also known as normal distribution) is a bell-shaped curve, and it is assumed…

Q: Derive that mean and variance of the poisson distribution using exponential families.

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Q: If a test of hypothesis has a Type I error probability (a) of 0.01, it means that

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Q: . What is the expected gain of the

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Q: what will be your expected value and variance of his gain?

A: The officers of the Mathematics Club are planning to sell 280 tickets to be raffled during the…

Q: If n=15 and P=0.1, would normal distribution provide accurate probabilities?

A: Normal to binomial approximation :  For a random variable X with a Binomial distribution with…

Q: Explain the Covariance functions as applicable to random processes.

A: The autocovariance function CX(s,t) of a random process {X(t)} is a function of two times s and t.…

Q: The lifetime of an electronic deivce is modeled as an exponential random variable. If 12% of the…

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Q: From past experience, a professor knows that the test score of a student taking her final…

A: Given that the mean is 75 and variance is 25 That is, μ=75σ=25=5

Q: Suppose the lifetime of a human has an expectation of 72 and variance 36. What is the probability…

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Q: What are the different Shortcomings of the linear probability model?

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Q: Assume the probability that a maple tree at age 5 grows less than 130 cm is equal to 0.1. If the…

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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: A hypergeometric and a Poisson probability distribution have the same mean. Which has the larger…

A: If one were to see that r/N (of the hypergeometric Distribution) is similar to p, The expected…

Q: Why should you sometimes use normal-curve areas to approximate binomial probabilities even though…

A: Binomial approximation: The normal distribution can be used as an approximation to the binomial…

Q: Suppose that the probability of a successful optical alignment

A: The geometric distribution gives the probability that the first occurrence of success requires k…

Q: Which number of simulation trials would be likely to produce results that are closest to those…

A: As the more trials of an experiment that are performed then the closer the experimental probability…

Q: On any given day, a salesman can earn $0 with a 20% probability, $100 with a 40% probability, or…

A: Solution: Let X be the earning of salesman.  The earning of sales person are 0 , 100 and 300 with…

Q: There is a probability that a transformer supplying a heavy industry plant will need to be shut…

A: In an assessment of the quality of the electrical power system, one measure of quality is the degree…

Q: 2. If the time-dependent probability

A: Given that pN(t) satisfied the given differential equation

Q: If X is a random variable with mean 5 and standard deviation 3, then the mean of the random variable…

A: The random variable is X.

Q: Which is the expectation for a binomial distribution?

A: Given,A random variable X~Binomial(n,p)P(X=x)=Cxn pxqn-x   ;  x=0,1,2,....nand p+q=1

Q: ). Find the maxjmum likelihood estimate of e.

A: The 10 independent observations from given distributions are (2,1,2,0,1,3,1,0,2,1)

Q: If we model the number of likes for a Facebook picture post as a Gaussian random variable with mean…

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Q: Assume the occurrence of EF2 or greater tornadoes at a certain location can be modeled with a…

A: Given information: Return period = 17000 years Average number of such tornado occurring at that…

Q: Suppose we are interested in the mean burning rate of a solid propellant, a random variable that can…

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Q: Random samples of a Gaussian distribution will fall within two standard deviations of the mean with…

A: Concept:  68% of the data is within 1 standard deviation (σ) of the mean (μ), 95% of the data is…

Q: The mean value of the Gaussian probability distribution is numerically equal to its variance. True…

A: The Gaussian probability distribution has two parameters mean and variance.

Q: If the probability is below 0.01, the data provide strong evidence that the null hypothesis is…

A: P-value or probability value: P-value or probability value method involves the probability of…

Q: If Y is a random variable from an exponential distribution with a mean of 5; what is the probability…

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Q: In a population, a parameter called "mobent" has a value of 9. If the statistic estimating mobent is…

A: Step 1 A statistic is unbiased if the mean of the sampling distribution of the statistic, also…

Q: b) Explain why the statistical properties of a random variable (RV) is expected to change if RV is…

A: The answer is explained below as follows.

Q: Probability theory forms a central part of the design of Reliability engineering. in

A: # probability theory forms a central part of design of highly reliable system in reliability…

Q: If μ is equal to 4 then variance of exponential probability distribution is equal to

A: The value of μ is equal to 4. The variance of exponential probability distribution is,…

Q: A recent 10-year study conducted by a research team at the Great Falls Medical School was conducted…

A: "Since you have posted a question with multiple sub-parts, we'll solve the first three sub-parts for…

Q: The probability distribution itself is assumed to be a beta distribution. True or false?

A: Beta Distribution is a probability Distribution, one of its most common uses is to model one's…

Q: A certain component is critical to the operation of an electrical system and must be replaced…

A: See hand written answer

Q: In a population, a parameter called "parametus" has a value of 9. If the statistic estimating…

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Q: Suppose that the time spent online to do homework by a randomly selected student has a gamma…

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Q: What is the expected value of X²?

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Q: Suppose Y is a continuous random variable with uniform distribution having mean 1 and 4 What is P(Y…

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Q: Suppose two stocks have a correlation of 1. If the first stock has an above average return this​…

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.