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please explain step by step and write with clear handwriting. thank you maat is sampling dist....
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9. (20 pts) A fishing line manufacturer claims that his new X-25 series has an average tensile strength (H) of 25 psi following a normal distribution. To verify his claim, a sample of 25 specimens was tested and yielded the following results: 32, 19, 27, 24, 28, 29, 38, 30, 25, 33, 18, 25, 37,28, 20, 32, 23,21, 25, 19, 23,27, 32, 26,30 this fishing line not meeting the specifications? Based on...
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Question 10 14 pts Suppose X is a random variable with mean 100 and standard deviation 15. Suppose that we select random samples of size n = 81 to construct a sampling distribution of means. Then which of the following is NOT true? O The standard deviation of the sampling distribution is 15/9 The mean of the sampling distribution is 100 Given enough samples, the shape of the sampling distribution will be...
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Please utilise the given plan and material C20 S420. Design the C102 column by considering the slendersness effect. Live Load 600 Column C102 N(kN) MA(kNm) Me(kNm) Dead Load 800 +40 +60 +30 +50 B201(25/50) B202(25/50) C201 C200 (30/40) C203 B101(25/50) B102(25750) MA+ C101 C10 (30/40) C103 the M47 a promenama 5 m - 6 m m WtU 9
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sing R please, 1. Generate 5,000 iid samples from the standard normal distribution; compute the mean of these random samples. Repeat this process 100 times so you would have stored 100 sample averages. Plot the sample averages using hist() and lines(density() in R. What do you observe? 2. Compute the mean and variance of Binomial distribution with parameters m and p directly from definition...
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10. If X is a binomial random variable with parameters n, 2, and Y is a Poisson rand om variable with parameter λ =np, then for 0 < k < n, (A) P(X = k) P(Y k) for large n (B) P(X = k) P(Y (C) P(X k) P(Y k) for small p = k) for large n and small p
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(12) A continuous random variable X has probability density function f(x) as shown below. yi уг Determine the (exact) value of the median. hint: Where do you expect the median to fall on the graph above?
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2. Discrete and Continuous Probability Distributions: In the following three parts, write the formula and value for the cases shown. (a) X is the binomial random variable with n = 50 and p = 0.65. [8 points) Case Excel Formula Value PIX> 25) P(X < 35) OMBE 2787 Makeup Test Summer 2020 (b) Suppose that a bank receives an average of 7 bad checks per day and this process can be modeled as a Poisson distribution....
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5. We are given a normal random variable with population mean μ and population standard deviation σ 40.0. (a) How large should a sample size be, in order that, with 96% confidence, the error in estimating μ by the observed sample mean is: (i) at most 10.0? (ii) at most 5.0? (b) Let X denote the (theoretical) sample mean from a random sample of size 25. What is P( X-씨...
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Recall IQs are normally distributed such that the mean is 100 and the standard deviation is 15 or N(100, 225) namely μ 100and σ-225 25 is chosen answer a, b and c. orơ-15 . If a simple random sample of n- a) What is the probability that the average IQ would be less than 80? b) What is the probability that the avearge IQ would be more than...
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Problem 9: Given X is a random variable with normal distribution, N (?, ?2). Given ?-6 and ?2-0.25, determine b, c, and d such that: I. P (Xs b) - 0.05 Il. P (X2 c) 0.40