Let (X, E) be a measurable space. Let py and pz be two measures defined on X. Then 1. p - H2 is a measure. 2. i x Ha is a probability measure. 3. 241 + P2 is a measure. 4. is a probability measure. 1 2 3

Q: 2. The Slaughter Meat Company has 60 employees. Fifteen are member of the United Slicers Union, 35…

A: Given, Total Number of employees = 60 Number of employees from United Slicers Union  = 15 Number of…

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A: Find the nature  of variable x.

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A: Given that: Total frequency N=50

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Q: Use the given information to find the indicated probability. A, B, and C are mutually exclusive.…

A:

Q: Two construction contracts are to be randomly given to one or more of three firms say I, II, III. A…

A: Given,  X = number of contracts were given to firm I Y = number of contracts were given to firm II

Q: The zebra plays a game in which in every turn she randomly chooses a letter from the set {A,B,C},…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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A: Given that the total number of points in each venn diagram is

Q: 2. The storage length and storage relative humidity are A. both fixed B. both random factors,…

A: Fixed factors/variables: These factors are of fixed nature. It means that it does not change by the…

Q: Qul Answer with T or F then Correct the false answer: O I E E, E are events, then PLEUE UES)…

A: Since you have posted question with multiple subparts,we will solve first three subparts for you.To…

Q: (c) the first is blue and the second and third are not blue

A: total number of beads contains in a bowl = 1414 beads = 5 red beads + 6 blue beads + 3 violet beads3…

Q: Let a and b be positive integers with a ≤ b, and let X be a discrete RV that takes as values, with…

A: Let  and  be positive integers with , and Also suppose that   be a discrete RV that takes as values,…

Q: c. Find P(X< 7) d. Find the probability that X takes an even value. e. Find P(3 <X< 10)

A: Total Number of Outcomes = 36 Sample Space for rolling a pair of fair dice -  (1,1) (1,2) (1,3)…

Q: A total of 150 people attended Mr. Kamen's surprise birthday party. A person is selected at random…

A:

Q: 4. Let N = {1,2, 3, 4, 5, 6}, F = 2°. Let P denotes a probability measure on (N, F) with P({1}) =…

A: Given: S = sample space = { 1 , 2 , 3 , 4 , 5 , 6} P(1) = 1/12 P(2) = 1/12 P(3) = 1/4 P( 4) = 1/4

Q: Translate the following statements using probability notation. Use X as the random variable. The…

A: Translate the statements using probability notation.

Q: Consider the random variable L, the length of time it takes to hear a case in a small claims court.…

A:

Q: Let G be agroup, HAG,KAG,H n K = {e}. Showthat G G/H x G/K. %3D

A: Fundamental theorem of Isomorphism: Let us consider two groups G and G' .Define an onto homorphism…

Q: Let A, B, and C be three events, such that each event has a probability of 1/2, each P[A BOC] of two…

A:

Q: For each random variable defined here, describe the set of possible values for the variable, and…

A: Note:Hi there! Thank you for posting the questions. As there are multiple sub parts, according to…

Q: Which of the following is a correct interpretation for P(x s 34)? O a. determine a probability that…

A: Here we have to choose the correct interpretation for the given statement P(X≤34)

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Q: Silly that when a couple has he children, at land one of them is a boy sume that boys and girls w…

A: From the provided information,a couple has two children that is n = 2Probability of girl (p) = 0.5

Q: state s probability P(s) realization X(s) realization Y(s) 1 .1 10 20 2 .2 20 30 3 .2 10 10 4 .3 10…

A:

Q: Find the probabilities for parts a and b. a. P(F≤3.90) for v₁ = 5, V₂ = 24 b. P(F>2.47) for V₁ = 24,…

A: Use EXCEL Procedure for finding the P-value.   Follow the instruction to obtain the P-value:   Open…

Q: #4 A bowl contains 5 red beads, 6 blue beads, and 3 violet beads. If 3 beads are picked at random,…

A: GivenNo.of red beads=5No.of blue beads=6No.of violet beads=3Total no.of beads=14

Q: Assume a member is selected at random from the population represented by the graph. Find the…

A:

Q: What is the probability a random employee of this company is a drug user? Find: P(T and D) =…

A: From the conclusions we see, P(T|D) = 0.93 P(T|Dc) = 0.05 P(Tc| Dc) = 1 – 0.05 = 0.95 P(T) = 0.19…

Q: Let N = R 20 and = Borel set of . Does P given as: For each interval I,l de-Ax f(x; A) |3D defined a…

A: Consider, the Measurable space,

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Q: Which of these statements are true? Select all that apply. Experimental probability can be any…

A: Introduction: It is required to choose the correct options.

Q: Suppose that we roll two fair six- sided dice and record the numbers showing as an ordered pair. Let…

A: The sample space of rolling two fair six sided dice is: S={(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)…

Q: 2. We have k distinct balls and n distinct bins. We want to distribute the balls among the ins. How…

A: There are k distinct balls and n distinct bins.  There is no bound on the number of balls in each…

Q: In a certain forest, there are 7 couples of bears (couple 1, couple 2, ., couple 7, each couple…

A: Hi, We can answer only 3 subparts per session. Kindly repost the question and mention the subparts…

Q: Q१: The Probability that let X be the number seeds that will germinate ame among Seeds planted.…

A: n=48, p=0.75

Q: Suppose you have a fair four sided dice showing {1,2,3,4}. You roll the dice and then continues to…

A: Given information: Outcomes of fair four sided dice showing = {1,2,3,4} We will roll the dice and…

Q: 5. Let (S2, A, Pr) be an abstract probability space, and let A, B be events. Prove that Pr(B|A) +…

A:

Q: 4. Do the followings with R: a. Create a plot of the pf of X. b. Create a plot of the cdf of X. c.…

A: 4. Pdf of X: Here, X follows Binomial distribution with n=3 and p=0.4.

Q: A bag contains 5 yellow marbles, 3 green marbles, and 2 red marbles. A) Find the sample space of the…

A: Given that, A bag contains 5 yellow marbles,3 green marbles and 2 red marbles. Total = 5+3+2  = 10…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.