Prove that P(A U BUC) = 1- P(A° | B° n C°)P(B© | C°)P(C°).

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A: Hii

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A: Given : Data 0 0 1 3 14 1 2 2 0 1 2 1

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Q: The heights of NBA players are normally distributed, with an average height of 6'7" (i.e. 79 inches)...

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Q: A survey conducted by the American Automobile Association showed that a family of four spends an ave...

A: Here Given  Sample size=n= 64 sample mean=$ 256.45=x¯ Sample standard deviation = $ 72.5=s  

Q: (1) Write out the regression equation  (2) What is the sample size used in this investigation?  (3) ...

A: 1) From the output, the coefficient of constant is 42.085

Q: Consider repeated rolling of a fair die, and assume that the different rolls are independent. For i ...

A: Given information: Rolling a fair die and different rolls are independent.  

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Q: GIVEN X f Xm<ef 35 - 416 42 - 485 49 - 55 12 56 - 62 10 63 - 69 12 70 - 767 77 - 835 84 - 903 i= n= ...

A: Since you have posted multiple sub-parts of question , we will solve first three sub-parts of questi...

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Q: Majesty Video Production Inc. wants the mean length of its advertisements to be 30 seconds. Assume t...

A: Given n=16 Z=3

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Q: QUESTION 1 Consider the following ARMA model for {y,}: ',=a,+ 2 j=1 +E,+ l=1 where {e) is the residu...

A: Please note that as per our guidelines if multiple questions are posted we can answer the first ques...

Q: Three randomly selected households are surveyed. The numbers of people in the households are 4, 5, a...

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Q: Calculate the MEAN, MODE and MEDIAN for each data set.

A: Here Given the data for two schools number of exclusion.

Q: . 23: Find the correlation coefficient between the income and expenditure of a wage earner and comme...

A: From the provided information, Sample size (n) = 7

Q: Direction: Read, analyze and solve the following problem. A. Finish My Tablet 1. Suppose Nancy has c...

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Q: The following are distances (in miles) traveled to the workplace by 19 employees of a certain hospit...

A: We have given that the distances traveled to the workplace by 19 employees of a certain hospital.

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Q: In a university examination, 65% of the candidates passed in English, 90% passed in the second langu...

A: Given that the , In university examination 65% candidate passed in English .  90% passed in second l...

Q: 15.19. The following bi-variate correlation coefficients are given for a trivariate data r, = 0.98, ...

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Q: bý a group of 12 students in two examinations A and B. Calculate the correlation coefficient between...

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Q: Let X = (X1, X2)', and X1 and X2 are iid random variables with common pmf f (x\0) xlog(1 – 0)' where...

A: The mean of X is given by, E(X)=-∑x=1xθxxln(1-θ) =-1ln(1-θ)(θ+θ2+θ3+......)=-θln(1-θ)(1+θ2+θ3+.........

Q: Suppose we want to do a poll to see what is the percentage, p of voters that will support president ...

A: a) Let us consider, p=0.5 Confidence level is 90%. From the standard normal table, the critical valu...

Q: -00 < y < ∞, f(y|0) = [1+ elv-0)]² where -o < 0 < ∞ is a parameter. Use the pivotal method to verify...

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Q: ratión 15.32. Calculate the rank correlation from the data given below: Sales (in lacs): Advertising...

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Q: Of all the registered automobiles in Colorado, 8% fail the state emissions test. Twelve automobiles ...

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Q: A coin is flipped 5 times.  Find the probability of getting at least 3 heads. If you used a table to...

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Q: A normal distribution is given with population mean 141 and population standard deviation of 65. Fin...

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Q: 8. A random sample of n = 36 scores is obtained from a population with a o = 12. If the sample mean ...

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Q: The probability that the flowers on your table are purple when you dine at a certain fine dining res...

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Q: Blood pressure is distributed Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a...

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Q: Obtain the seasonal indexes for Jan '20 to Dec '20 using all 4 years. Select the index you obtained ...

A: Seasonal variation is a component of time series. It is the fluctuations within a year over differen...

Q: Use the method of least squares to fit a straight line trend and estimate the number of salesmen in ...

A: Here  X= Year Number Y= Number of salesman  Total number of data =n=5 Here We will use least square ...

Q: what is the probability that 2 will have no checkup, 3 will have 1 checkup, and 2 will have 2 checku...

A: The probability that a person will have 0, 1, or 2 dental checkups a year is 0.24, 0.51, and 0.25 re...

Q: You measure 34 turtles' weights, and find they have a mean weight of 65 ounces. Assume the populatio...

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Q: 2. A particular telephone number is used to receive both voice calls and fax messages. Suppose that ...

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Q: In an article in the Journal of Management, Joseph Martocchio studied employee absences from work at...

A: Let X be the random variable from normal distribution with average or mean (μ) = 1.4 and standard de...

Q: ALPHA = 0.05             Shift       1 2 3   Machine A 10 7 9   B 10 7 6   C...

A: Introduction: It is of interest to test whether the machines and shifts are operating consistently, ...

Q: The following hypothesis is being tested: Ho: H= 30 vs. H1: #30, data points yields a sample mean of...

A: It is given that the hypothesized mean is 30.

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 mph and ...

A: GivenMean(μ)=80Standard deviation(σ)=7

Q: Explain what is the LM test and demonstrate it

A: Given information: It is required to state the LM test.

Q: The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally distrib...

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Q: Below is a probability distribution for the number of math failures of BC students. 1 3 4 P(X) .41 ....

A: We know that  ∑P(x) = 1  First we want to find missing probability from above equation.  NOTE:- Acco...

Q: Days Sick Monday 330 Tuesday 280 Wednesday 330 Thursday 300 Friday 290 Saturday 295 The...

A: It is needed to test, whether the daily sick leave usage is consistent (equal).