Data is drawn from a binomial (5, 0) distribution, where is unknown. Here is the table ofprobabilities p(x|0) for 3 values of 0:X010 = 0.50.0310.1560 = 0.60.0100.0770 = 0.8 0.000 0.00623450.3130.3130.1560.0310.2300.346 0.259 0.0780.051 0.205 0.410 0.328You want to run a significance test on the value of 0. You have the following:Null hypothesis: 0 = 0.5.Alternate hypotheses: >0.5.Significance level: a = .1.(a) Find the rejection region.(b) Compute the power of the test for each of the two hypotheses 0 = 0.6 and 0 = 0.8.(c) Suppose you run an experiment and the data gives x = 4. Compute the p-value of thisdata.

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Answered: Data is drawn from a binomial (5, 0)…

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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The discrete random variable X has the following probability distribution: -10 0 10 p(x) 0.20 0.40 .10 Which one of the following correctly gives the value of the mean and standard deviation of X? OH = 0.5, o = 37.5 OH = 2.25, o = 37.25 OH = 0.5, o = 6.10 OH= 2.25, o = 6.10 OH= 0.5 o = 37.25
If X is a normally distributed random variable with a mean of 10 and standard deviation of 4, then the probabilitythat X is between 6 and 16 isA. .9332B. .7745C. .6587D. .0668E. .8413
Your company, Sonic Video, Inc., has conducted research that shows the probability distribution, where X is the number of video arcades in a randomly chosen city with more than 500,000 inhabitants. x 0 1 2 3 4 5 6 7 8 9 P(X = x) 0.07 0.09 0.36 0.24 0.15 0.03 0.02 0.02 0.01 0.01 (a) Compute the mean, variance and standard deviation (accurate to one decimal place). mean variance standard deviation (b) As CEO of Startrooper Video Unlimited, you wish to install a chain of video arcades in Sleepy City, U.S.A. The city council regulations require that the number of arcades be within the range shared by at least 75% of all cities. What is this range? (Find the interval containing at least 3/4 of the data as guaranteed by Chebyshev's Rule. Round your answers to one decimal place.) ,
Let X be a random variable with the following probability distribution: X -2 3 5 f(x) 0.5 0.2 0.3 Find the standard deviation of X. The standard deviation is (Round to two decimal places as needed.)
A factory manager collected data on the number of equipment breakdowns per day. From this data she derived the probability distribution shown in the table below: No. of breakdowns x Probability p(x) 0 0.80 1 k 2 0.05 c) Determine the standard deviation σ of x
Suppose X is a discrete random variable with the following probability distribution: P(X = 2) = 0.3 P(X = 4) = 0.2 P(X = 6) = 0.5 What is the expected value (mean) of X?
A random variable, X, has a mean of 50 and standard deviation of 10. Which of the following probabilities is correct for P(30 < X < 70)? Select one or more: A. 0.25 B. 0.68 C. 0.78 D. 0.72
Today, the waves are crashing onto the beach every 4.6 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a uniform distribution from 0 to 4.6 seconds. Round to 4 decimal places where possible. The probability that the wave will crash onto the beach between 0.9 and 3.7 seconds after the person arrives is P (0.9 <x<3.7)=____ The probability that it will take longer than 1.22 seconds for the wave to crash intoned the beach after the person arrives is P(x>1.22) =_____ Suppose that the person has already been standing arc thr shoreline for 0.1 seconds without a wave crashing in. Find the probability that’s it will tale back between 2 and 3 second and for the wave Tovar’s crash onto the shoreline ________
Suppose X follows a binomial distribution with parameters n and p. Let Y = n − X. Show that Y is a binomial distribution with parameters n and 1−p. (To help think about it, thinkof X as the number of successes and Y is the number of failures.)
Assume X has the following probability distribution: X 1 2 3 4 P(X) .1 .5 .2 .2 Compute the standard deviation of X.
A student takes a test in which they have to indicate whether each of n statements is true or false. The student knows nothing at all about the subject matter and guesses the answers randomly. Let X denote the number of correct answers (a) Write down expressions for the expectation, E(X), and the variance, var(X). Suppose the student gets three marks for every correct answer but loses one mark for every incorrect answer. Let Y denote the student’s total score. (b) Show that Y = 4X −n. (c) Write down expressions for E(Y ) and var(Y ).
7. For the following data: 9, 5, 10, 7, 9, 10, 11, 8, 12, 7, 6, 91. Compute the z-score for the raw score of 10.2. Compute the z-score for x = 6. 8. Find the probabilities for the following z-scores:1. p(z < 0.50)2. p(z > -0.25)3. p(z < -1.35)4. p(z > 1.68) 9. Given a distribution with ? = 225 and ? = 15, find the following probabilities:1. p(X > 227)2. p(X > 212)3. p(X < 230)4. p(X < 220)

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