An insurance company has a portfolio of car insurance. For a given period of time, it is assumed that the drivers are classified in two categories: 'good drivers' and 'bad drivers'. The proportion of good drivers is 75% of the total drivers. We also know that the number of claims for a each driver is following Poisson with parameter A where A =1 for good drivers and A = 3 for bad drivers.

Q: Truck arrivals at a large station are believed to be distributed using the Poisson method, with a…

A: a) The following Hypothesis can be formed H0: λ=2.4HA: λ≠2.4

Q: Suppose a sample X1, ..., Xn is modelled by a Poisson distribution with parameter denoted A, so that…

A:

Q: Example Let Y. < Ya <.. < Yo denote the arder statistics of a random sample of size n from a…

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

Q: In England, the most serious emergency calls requesting an ambulance are classified as 'Red 1’.…

A:

Q: IEX is a Poisson distribution variable, then its moment generating function is e^(e' -1).

A:

Q: When the classical linear model assumptions are fulfilled, the OLS estimator  is...…

A:

Q: The U.S. divorce rate has been reported as 3.6 divorces per 1000 population. Assuming that this rate…

A: Hi, thanks for posting the question. Since there are more than three sub parts posted in the…

Q: are sampled areas of a city. All intersections have approximately equal daily traffic. Ten of the…

A: Mann whitney U test : The distinction between the 2 rank totals is mirrored within the Mann-Whitney…

Q: The observed annual maximum runoff, X, in the Kızılırmak River has been modelled by a normal…

A: Probability of normal distribution:               In a normal distribution, the probability of a…

Q: Find the best critical region for testing H. :1 = 2 against H,:1 = 3 based on the sample drawn from…

A:

Q: The U.S. divorce rate has been reported as 3.9 divorces per 1000 population. Assuming that this rate…

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

Q: Suppose that the continuous two-dimensional random variable (X, Y ) is uniformly distributed over…

A: Given, The data set is: X Y 1 0 0 1 -1 0 0 -1     To find, The correlation coefficient…

Q: Let X1, X2, X3 and X4 be a random sample from population with pdf X, 0 < x < 1 fx(x) = |0,…

A: Given information: The probability distribution function is fXx=x,    0&lt;x&lt;10,    otherwise.

Q: A certain type of tree has seedlings randomly dispersed in a large area, with the mean density of…

A: The number of events occur within the given interval is calculated by poisson distribution. The…

Q: Derive the likelihood function for an causal and invertible AR(2) Gaussian process and find the…

A: please refer the answer below:

Q: Suppose that visitors to a state carnival which is open from 5 pm to 10 pm daily arrive according to…

A: Solution: From the given information, arrival of visitors follows a non-homogeneous Poisson process.…

Q: Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type…

A:

Q: Give the resulting rate when two independent Poisson processes with rates λ1=2.546 and λ2=3.326 are…

A: If two independent Poisson processes of rates λ1 and λ2 are merged, such that  N(t) = N1(t) + N2(t)…

Q: Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type…

A:

Q: An article in Radio Engineering and Electronic Physics (1980, Vol. 25, pp. 74-79) investigated the…

A: Given that, Sample size, n1=n2= 100 Mean1, x̄1= 7.9 And standard deviation, s1= 2.6 Mean2, x̄2= 6.9…

Q: If the random variables X and Y are orthogonal, then their correlation is zero. Rxy =0

A:

Q: . An article in Radio Engineering and Electronic Physics (1980, Vol. 25, pp. 74-79) investigated the…

A: Here is given that mean of 1 is 7.9 and second us 6.9. Standard deduction of  1 is 2.6 and second is…

Q: If X1 and X2 constitute a random sample of size n = 2from a Poisson population, show that the mean…

A: Sufficient Estimator: An estimator is said to be sufficient, if the statistic used as an estimator…

Q: The autocorrelation function of a stationary random process X(t) is given by 16 Ryx (7) = %3D 1+87…

A:

Q: A company has 9000 arrivals of Internet traffic over a period of 20,040 thousandths of a minute. Let…

A: Formula : Poisson distribution is given by

Q: 3. Suppose that the number of insurance claims, N, filed in a year is Poisson distributed with E(N)…

A:

Q: The U.S. divorce rate has been reported as 3.6 divorces per 1000 population. Assuming that this rate…

A: Hey there! Thanks for posting the question. Since there are more than three sub-parts in your…

Q: Q3: B- If the variable y has a Poisson distribution with the parameter = 2 find: P(y=4) 1 P(y ≥6) .Y…

A:

Q: In various places in this module, data on the silver content of coins minted in the reign of the…

A: The results are given of the test where the the percentage of silver in the coin is tested in the…

Q: At 15:00 it is the end of the school day, and it is assumed that the departure of the students from…

A:

Q: Is the following statement true or false? “The single-phase, single-channel model with Poisson…

A: Here it is given that the single-phase, single-channel model with Poisson arrivals and undefined…

Q: A masking tape manufacturer expects 0.04 flaws per meter of tape, on average. The Poisson…

A: If the average of flaws is 0.04 in 1 meter of tape, then the average in 0.1 meter is 0.004. i.e.…

Q: Let X1, X2, X3 and X4 be a random sample from population with pdf 0 < x < 1 X, fx(x) = 0, otherwise.…

A:

Q: There are two competing designs for a certain semi- conductor circuit. The lifetime of the first (in…

A: a) Let X denote the lifetime of first circuit and Y denote the lifetime of second circuit.  Simulate…

Q: Find a value for the product moment correlation coefficient r for this data   Explain what the…

A: here given,   formulae: product moment correlation coefficient r=SxySxxSyy Sxy=∑(xi-x )(yi-y )…

Q: A paper investigated the driving behavior of teenagers by observing their vehicles as they left a…

A: Sol:- First find the mean and standard deviation for both the data i.e. For male Driver and Female…

Q: Suppose that the response y is generated by y = f(x) + €, where is a zero-mean Gaussian noise with…

A: Given Information: Consider the response y which is generated by:     y=fx+ε Where ε is a zero mean…

Q: Find the sampling distributions of Y1 and Yn for ran-dom samples of size n from a population having…

A:

Q: The US divorce rate has been reported as 3.6 divorces per 1000 population. Assuming that this rate…

A: Hey there! Thanks for posting the question. Since there are more than three sub-parts in your…

Q: It is known from past experience that in a certain plant there are on the average 4 incidents per…

A: In question, We have given that in a plant incident rate per month is 4. Then we'll find the…

Q: Suppose that Y,...,Y, Poisson(A). We have shown that the MLE for A is Y. It turns out that we are…

A: find the mle..........

Q: Find the best critical region for testing H:1 = 2 against 0. H: 1 1 = 3 based on the sample drawn…

A: ANSWER: From  the given data,

Q: If a random process has a D.C component, its auto correlation function will also have D.C component

A:

Q: The table below shows the number of hours per day 11 patients suffered from headaches before and…

A: There are 2 dependent samples which are daily headache hours before and after. We have to test…

Q: distributed for both children and adults. A random sample of n1 = 11 children (9 years old) showed…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.