1 nanogram of a certain isotope has an average of 2.3 radioactive decays per second, and the * number of decays will follow a poisson distribution. What is the probability that in a 2 second period there are no more than 3 radioactive decays?

Q: Explain Student t distribution & F distribution?

A: Student t distribution: Shape of a student’s t distribution is bell shaped curve with mean zero and…

Q: Explain the Distributed Lag Model and Exogeneity?

A:

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: How do you detect the presence of serial correlation? and state 3 ways of correcting the problem

A: Serial correlation or Auto correlation occurs in the model when the error terms  are correlated with…

Q: Investor A wants to maximize his expected return by investing some proportion in Stock Z which has…

A: Expected rate of return = 18% Standard deviation max = 25% Standard deviation of Z = 21%

Q: A travel centre has three service counters to receive people who visit to book air tickets. The…

A: The arrival rate is λ=100 persons10 hour=10 per hour Service time is μ=15 min per customer=4…

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

A:

Q: compare Random Effects Estimator and Fixed Effects Estimator.

A:

Q: Describe a continuous psychological variable and a population you would like to study.  Given your…

A:

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: 1 example solution of mean and variance using Negative Binomial Distribution.

A:

Q: Derive variance for gamma distribution?

A:

Q: For males born in upstate NY, the gestation times are normally distributed with a mean of 39 weeks…

A: Given, for males born in upstate NY, the gestation times are normally distributed with a mean of 39…

Q: What are the properties of F distribution?

A:

Q: Define P-value?

A:

Q: Compare z-test with t-test and explain how and why a t-distribution is different from a…

A: The z test is used to compare the hypothesis testing of sample mean with population mean either the…

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: When can we apply chi-square distribution?

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Q: find a constant C such that p is a probability density function on the given interval, and compute…

A: To be a probability density function, the total probability has to be 1

Q: How do you do a binomial distribution?

A: Binomial Distribution: The Binomial distribution is useful if the experiment has two outcomes…

Q: The average amount of time spent with each customer is 7 minutes.  Using Exponential distribution,…

A: Given: The average amount of time spent with each customer is 7 minutes.

Q: A certain Gas Station sells X thousand gallons of gas each week. Suppose that the cumulative…

A: 15.Given Information:

Q: How to calculate the mean and variance of Poisson distribution?

A: As we know that Poisson is a discrete Probability distribution.  If X is a random variable and it…

Q: Lengths of pregnancies of humans are​ N(268 days, 16​ days). Use the Empirical Rule to determine the…

A: The percentage of women whose pregnancies are between 252 and 284 days is obtained below:It is given…

Q: Jse normal approximation to estimate the probability of getting less than 47 girls in 100 births.…

A: n=100, p=1/2, q=1/2 μ=n×p=100×1/2=50 σ=√(n×p×q)=√(100×1/2×1/2)=5

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: 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: How to find Distribution while given Estimator in point estimator

A: If you have an estimate and wish to know the probability distribution from which it is formed (i.e.,…

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…

Q: the variable under consideration be normally distributed for you to use the ?-interval procedure or…

A: Given:- variable under consideration be normally distributed . so ,let X~Nμ,σ2 we have to find the…

Q: Poisson distribution

A: The pmf of Poisson Distribution is given by P[X=x]=l-λλxx!;x=0,1,2..,λ>00           ; o.w