Question 115Identify the random variable to which the moment generating M(t) = (.7+.3e^t)" functionbelongs.Binomial(N=15, P = .3)Normal(0,1)Binomial(N=15, P =.7)No answer text provided.

Answered: Question 1 15 Identify the random…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(17') The random variable X obeys the distribution Binomial(n,p) with n=3, p=0.45. (a) Write Px(1), the PMF of X. Be sure to write the value of Px(T) for all z from -o to +oo. (b) Sketch the graph of the PMF Px[x]. (c) Find E[X], the expected value of X. (d) Find Var[X], the variance of X.
(11) Find the moment-generating function (MGF) of an exponential random variable with param- eter A.
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9.5 Standard error of the mean. A random sample from a certain population has I = -44.6, s = 6.02, and n = 25. It is planned to conduct a test of Ha : µ << -40. (a) What is the null hypothesis in this case? (b) Do the summary statistics give some evidence that Ha is true? (c) Compute the estimated standard error of the mean, SEM= s/Vn. (d) Would it be surprising if Ho were true? Answer "yes" or "no," using two SEMS as the threshold of surprise. 35
#20
Use the following data to answer question 8 - 12. A number of studies have claimed evidence that the first-born in a family is, on the whole, more likely to be "successful" than later-borns. A study along this direction compared the IQs of a random sample of 80 first-borns with those of an independent random sample of 105 later-borns. The data are summarized below: Sample size Sample mean Sample SD First-borns 80 112 7.2 Later-borns 105 108 8.0
N= 150 observations were collected on a time series that was identified as a AR(2) time series. The following statistics were computed from the data. Mean - 45.0 Variance 15.6 Autocorrelation function (up to lag 5) r1 = 0.80, r2 = .50, rз = .26, r4 = -.10, rs = 0.08: == Estimate the parameters of the model using the method of moments.
Anomal distribution has of mu = 50 with sigma = 6 6. one score randomly selected from this distributionwhich is the probability that the score will be greater than X = 46
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Question 7 According to the data, the weight of a randomly selected checked-in luggage has a normal distribution with a mean of 51 lbs and a standard deviation of 9 lbs. Let X be the weight of a randomly selected checked-in luggage and let S be the total weight of a random sample of size 33. 1. Describe the probability distribution of X and state its parameters and o: X~ Select an answer (μ = Select an answer unknown X² B N T 2. Use the Central Limit Theorem and find the probability that the weight of a randomly selected checked-in luggage is less than 61 lbs. (Round the answer to 4 decimal places) Check-In Select an answer Select an answer the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the sample size is small (n<30) and the distribution of the original population is unknown the distribution of the original population is unknown S~ Select an answer (s= Select an answer σ= to describe the…
Question 3: Let the random variable X'be the amount of error in a recently calibrated machine. Suppose X'has pdf f(x) = 0.75(1-x²) -1≤x≤1 a) What is the probability that the error is between — and ½? b) Find the expected amount of error.

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Question 1 15 Identify the random variable to which the moment generating M(t) = (.7+.3e^t)³ function belongs. Binomial(N=15, P = .3) O Normal(0,1) Binomial(N=15, P = .7) No answer text provided.