(a) Find the mean of X. (b) Find the variance of X.

Q: I dont understand how we go from P(B) = P(A) + P(B ∩ A') to P(B) ≥ P(A)

A: A,B  belongs to F  We have to prove that If A ⊂B then  P(A)≤ P(B)

Q: What is the mean and standard deviation of the standard normal distribution?

A: Normal Distribution: In statistics, a normal distribution pattern is a typical pattern where the…

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Q: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

A: Margin of error=0.03 Confidence level=0.95

Q: Problem #8: Suppose that a random variable X' has the following probability density function. f(x) =…

A: Note:- "Since you have posted multiple questions, we will provide the solution only to the first…

Q: mean of scores for a test = 300 SD = 100 10% of students that achieve a score higher than k are…

A: Mean()=300standard deviation()=100

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A: Properties for discrete probability distribution: The properties are stated below as follows:…

Q: tomorrow. Of the students who are ill today, 55% will still be ill tomorrow. What is the stochastic…

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Q: The main topic is Markov Chains: Students in Geology class never know what is going to happen in the…

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Q: A person must score in the upper 2% of the population on an admissions test to qualify for…

A: Solution-: Given: μ=110,σ=15 We want to find what is the minimum score a person must have to qualify…

Q: Consider the trash bag problem. Suppose that an independent laboratory has tested trash bags and has…

A: The sample mean is 50.560. The population standard deviation is 1.68. The sample size n is 40.

Q: Give only typing answer with explanation and conclusion The melting points of two alloys are being…

A: alloy 1 : x¯1  = 517s1 = 2.4n1 = 35alloy 2 :x¯2  = 515.1s2 =2.1n2 = 47α = 0.01claim : μ1 ≠ μ2α =…

Q: (a) Components are selected and tested one at a time, without replacement, until a non-defective…

A: Here given that box contains 11 components, 5 of them are defective. So no of non defective = 11 -5…

Q: The following function is probability mass function. f(x) = 4x¹, x = 0, 1,2,3,4 Determine the mean,…

A: The given probability mass function is fx=4x+145,      x=0,1,2,3,4.

Q: In a deck of playing cards, there are 52 cards consisting of 4 suits (hearts, diamonds, clubs, and…

A: Ans:- Given, In a deck of playing cards, there are 52 cards consisting of 4 suits (hearts, diamonds,…

Q: A bag contains 10 red marbles, 6 blue marbles, and 4 green marbles. If three marbles are drawn…

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Q: Please round all answers to 2 decimal places. Given the table below, use your calculator to find…

A: We have given that x 7.3 7.8 9.7 4.1 5.9 5 y 20.6 25.3 27.4 16 15.3 14

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A: The probabilities are given

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A: as per guidelines i have calculated first main question as you have posted multiple question .…

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A:

Q: The following table provides a probability distribution for the random variable x. (a)Compute E(x),…

A: We have given the following probability distribution table  x f(x) 8 0.25 16 0.50 24 0.25

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A: Total number of softball players = 8 Number of players to refill the water cooler = 3

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Q: For statistics, there 20 Malays, x Indians and 10 Chinese's students in a seminar. Find the value of…

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A:

Q: Problem 2: Suppose a random variable X has expected value E[X] = -2 and variance Var(X) = 4. Compute…

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Q: Random variable X has a standard normal distribution. Find the PDF of the random variable Y, where:…

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Q: Given that the mean μ = 20 and the standard deviation a = Type your answer.... 4, find P(x > 25).

A: Mean(μ)=20 standard deviation(σ)=4

Q: educational The following table represents the highest attainment of all adult residents in a…

A: Empirical probability, also known as experimental probability, is a type of probability that is…

Q: The true proportion of Bury inhabitants below the poverty line is lower than 0.17. The true…

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Q: an airline has 72 seats. .9 or 90% of tickets purchased actually get filled. if they sell 74…

A: To calculate the probability that 72 or fewer seats get filled, we can use the binomial probability…

Q: Suppose the PMF of the random variable X is px(x) = 0,1,2,...}(x) where >>0. x! Obtain the MGF of X…

A:

Q: Job Satisfaction Score 1 2 3 X 1 2 3 9 41 4 42 5 3 If required, round your answers to two decimal…

A: Is senior executives(%)=100 Is middle managers(%)=100

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Q: part c is not correct i

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Q: Q20 Let the following be a probability distribution- 2 0.24 P(X=x) Calculate a) E(X²) 1 0.16 0.35 b)…

A: The probability distribution is given as follows: x 1 2 3 4 PX=x 0.16 0.24 0.35 0.25

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Q: In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not…

A: From the given information,    Total number of students, n= 25 Let,     A be students have brother…

Q: • Watch help vince In a class of 30 students, 19 have a cat and 12 have a dog. There are 6 students…

A: Given information :  Total students = 30  Students having a cat  P(cat) = 19 /30 Students having a…

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A:

Q: educational The following table represents the highest attainment of all adult residents in a…

A: age 20-29 age 30-39 age 40-49 age >=50 total  high school only 1491 543 1147 1381 4562 some…