In a continuous distribution the   Multiple Choice   PDF shows the area under the curve.   CDF is used to find left-tail probabilities.   CDF is usually the same as the PDF.   PDF is usually higher than the CDF.

Q: Give the formula for calculating percentiles of a continuous distribution.

A: Here we have to give the formula for calculating percentile of a continuous distribution

Q: Describe in brief the uniform distribution.

A: The uniform distribution is a probability distribution which is used when the outcomes are equally…

Q: Sketch a graph of a distribution that is positively skewed and state a real life example of when a…

A: Here we have sketch the graph of a distribution that is positively skewed  and have to state real…

Q: What distribution could be used to approximate a t-distribution with v=90 degrees of freedom?

A: degrees of freedom v=90

Q: Assume the probability that a maple tree at age 5 grows less than 150 cm is equal to 0.3. If the…

A: Given Data: Let X represent the height of the maple tree P(X<150)=0.3 σ=64=8

Q: True or false The mean and variance of a Poisson distribution are same

A: Poisson distribution X~Poisson(λ)

Q: The average exam score is 66 with a variance of 20.  Your exam has a Z score of 0.12. What is your…

A: The z score indicates how many standard deviations that a data points away from the mean. It can be…

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: What are the requirements needed to be a binomial distribution?

A: To find: What are the requirements needed to be a binomial distribution?

Q: Assume the probability that a maple tree at age 5 grows less than 170 cm is equal to 0.25. If the…

A: Given that,  P(X<170) = 0.25 We know that 0.25 is the 60th percentile for normal distribution, Or…

Q: Explain in general terms the relationship that exists between the Poisson and exponential…

A:

Q: What are the shapes of these distributions? Are they symmetric, left, or right skewed? Are there any…

A: Introduction A box and whisker plot is a graphical representation which shows the variation in the…

Q: Given the data set, show how the variance and z-score of each grade is found.

A: Variance is the measure of dispersion. It provide the deviation of data set from the mean. It is…

Q: Define the point spread function (PSF) and instrument response function (IRF). Explain their…

A: we have to define  point spread function (PSF) and instrument response function (IRF) .

Q: what is the symbol for the first parameter of the distribution and whats the value?

A: Answer: - Actually we have p=0.40  and sample size n=100  , This is the binomial Distribution

Q: Derive variance for gamma distribution?

A:

Q: discuss discrete and continous distribution show example

A: Please find the explanation below. Thank you

Q: What are the properties of F distribution?

A:

Q: What is the median of a continuous random variable? What is the median of an exponential…

A:

Q: Why is it important to make the variance of a time series plot more stable?

A: Why is it important to make the variance of a time series plot more stable?    A time series is used…

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: What is Frequency Distribution?

A: Sometimes,tabular representation of a data set is very useful in viewing the characteristics of the…

Q: Figure shows three residual plots and a normal probability plot of residuals. For each part, decide…

A: Assumption for regression inferences: Population regression line: There exists constants β0 and β1,…

Q: When can we apply chi-square distribution?

A:

Q: Derive the negative MGF of binomial distribution

A: We have to derive mgf(moment generating function) of binomial distribution.

Q: The average exam score is 63 with a variance of 33.  Your exam has a Z score of 0.96. What is your…

A:

Q: What is the binomial distribution?

A: The binomial probability distribution is a discrete probability distribution in which the outcomes…

Q: This distribution illustrates a

A: Here Given graph of distribution

Q: last 20 minutes left thank you!

A: Data analysis refers to the process of gathering relevant information from the given data to make…

Q: Identify two uses of Poisson distributions.

A: Poisson Distribution is used for independent events which occur at a constant rate within a given…

Q: Describe what actually histograms show in distributions in operations ?

A: Introduction - Graphical methods in statistics These methods are useful aids to portray the results…

Q: When the degrees of freedom is large, the t distribution becomes?

A: Given  When df is large  Then t distribution transform into ?

Q: Derive mean for gamma distribution?

A:

Q: Which is correct for a distribution that is skewed to the left?

A:

Q: Describe Simple Discrete Distributions?

A: The outcome of an set of data are distributed in two forms. They are continuous distribution and…

Q: When do we use a mean and SD to define a continuous variable distribution?

A: Given information: For a continuous variable distribution with specified mean and standard…