Show that if B1, B2, and B3 are independent events then B1 and B2 U B3 are independent. Furthermore, also show that B1-B2 and B3 and independent.

Q: What is the variance of X

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Q: Let X follows exponential with lambda=4. The sample of size 4 was drawn. Find P(X1’ 1)

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A: Given that  D=Degree of freedom  A) D1=20 , D2=9 , ? = 0.05 B) D1=9 , D2=24 , ? = 0.05 C) D1=20 ,…

Q: 5. From the following details fit a straight line trend. Year: 1989 1990 1991 1994 1995 1992 1993…

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Q: Example 35. Calculate Median and Mode for the following distribution: Production per day (in Tons):…

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Q: (2) Determine the areas under the normal curve given the mean of the distribution u = 80 and o =…

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Q: 16. The following table describes speed post rates from 1975 to 1987 Year: 1975 1976 1977 1978 1979…

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Q: There are 22 members of a basketball team. (1) The coach must select 8 players to travel to an away…

A: Given that

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Q: Let Y denote the present value of a ten-year deferred 30-year temporary life annuity- 100, immediate…

A: Given that Y denote the present value of a ten-year deferred 30-year temporary life…

Q: In an experiment, A,B,C, and D are events with probabilities P[A]= 2/8, P[B]= 3/24, P[C]=15/24, and…

A: Given, C & D are independent Than we have to tell that given events are independent or not…

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A: The null hypothesis is denoted by Ho. In this hypothesis, there exists no effects between the…

Q: Let f(x)=k(4x -x²) if 03. (a) For what value of k is f(x) a probability density function? (b) For…

A: Given that  Probability density functions of X  f(x)=k(4x-x2)  , 0<x<3 f(x)=0     , x<0 ,…

Q: The joint pmf of X and Y are given in the table below: Y X 2 4 2 15 6 15 1 15 3 2 15 3 15

A: Here we have to find the variance V(Y) from the given joint distribution table

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Q: SITUATION 6 (a) The elongation of a steel bar under a particular load has been established to be…

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Q: 2. (1) Compute for the Relative Frequency and Percent Relative Frequency for the Frequency…

A: Given: N=160

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Q: Explain the method of simple averages of computing the indices ofseasonal variations.

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Q: The random variable X, the particle size (in micrometers) distribution is characterized by the…

A: Given that  The random variable X, the particle size (in micrometers) distribution is characterized…

Q: The probability the container will be shipped is (Round to the nearest thousandth as needed.)

A: Solution

Q: president, a treasurer and a secretary are to be chosen in an organization having 30 members. How…

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Q: (2) Determine the areas under the normal curve given the mean of the distribution u = 80 and o =…

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Q: You are given that P(A) = 0.5, P(B) = 0.25, and P(A n B) = 01. What is the probability that neither…

A: Given that  P(A)=0.5 , P(B)=0.25 , P(A ∩ B)=0.1 Find  P(neither A nor B) Note: According to bartleby…

Q: Based from the record, the mean weight of the newborn babies is 4.8 lbs with a standard deviation of…

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Q: The population of the College of Business Administration has increased from 1,260 to 1,440 students.…

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Q: ACTIVITY Find the mean,median, and mode 1. 90, 76, 54, 40, 90, 99, 75, 12, 19, 16, 35, 78

A: As per bartleby guideline expert have to answer first question only dear student please upload other…

Q: 4. What is the probability of rolling a (a sum) of 5, or (a sum) of 6 or doubles? Let A be Let B be…

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Q: Suppose a special type of small data processing firm is so specialized that some have difficulty…

A: Property of probability distribution function (pdf) :  ∫yf(y) dy =  1

Q: Suppose your friend has a lottery ticket that presents the following gamble: Win $91 with a…

A: From the given information, Win $91 with a probability p Lose $10 with a probability 1-p Also assume…

Q: Example 48. Compute Q,, Q, and Q, of the following data: 13, 14, 7, 12, 17, 8, 10, 6, 15, 18, 21, 20

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Q: Half of a class took Form A of a test, and half took Form B. Of the students who took Form B, 39%…

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Q: Explain the method of simple averages of computing the indices off seasonal variations.

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Q: The discharge of industrial wastewater into rivers affects water quality. To assess the effect of a…

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Q: 11. The number of units of a product exported during 1990-97 is given below. Fit a straight line…

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Q: The probability that Mr. Adam comes across a red light is 0.45 at any intersection. What is the…

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Q: Determine the probability of getting 9 exactly twice in 3 throws with a pair of fair dice. 8 А. 43…

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Q: (0.002 e-0.002 t,t 20 10, Example - 2: Consider the pdf f (t) = with t in hours. other wise i)…

A: i) Reliability function, R(t): Rt=∫t∞ftdt      =∫t∞0.002e-0.002tdt     =0.002e-0.002t-0.002t∞…

Q: 5. The amount of time it takes a professor to respond to a student's email follows a right-skewed…

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Q: For numbers 15-24, consider the following. The joint pmf of X and Y are given in the table below: Y…

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Q: A simple binary communication channel carries messages by using two signals 0 and 1. It was assumed…

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Q: Jack wrote a 10-question multiple choice quiz. Each question has five possible choices. What is the…

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