Consider the following frequency table of 50 observations on the random variable X:Value13 or moreObserved4211015Expected8.898917.797914.83158.4717Based on the 50 observations, is a binomial distribution an appropriate model? Perform a goodness-of-fittest with a = 0.05, degrees of freedom (k – p – 1) = 3Question 1:State the parameter of interestQuestion 2:Formulate the null and alternative hypothesisQuestion 3:Find the value of the critical Chi-Square, xá, k-p-1Question 4:Test the hypothesis if the distribution of the random variable X follows the binomial distributionv Question 1a. Parameter of interest is the distribution of the random variable Xv Question 2b. Because X2 # X²reject the null hypothesis. Distribution is binomial.a ,k -p -1v Question 3c. Ho: Distribution of random variable X is not binomialv Question 4H1: Distribution of random variable X is binomiald. Because X? > X²reject the null hypothesis. Distribution is not binomiala ,k -p – 1e. Ho: Distribution is binomialH1: Distribution is not binomialf. 7.81g. 12.84

Here use given table of expected and observed frequency

Answered: Based on the 50 observations, is a…

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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3 l 60% 2:18 p.m. Assignment3.pdf Rawalpindi Women University Assignment No:3 Course Code: STAT-1113 Course Title: Introduction to Probability & Statistics Instructor's Name: Arooj Toheed Semester: 1st & Section B Total Marks:10 Department: Physics Q:1: A random variable X is binomially distributed with mean 3 and variance 2.Compute 1. P(X<5) 2. E(2X-3) the probability that a person entering a bakery shop will purchase a loaf of bread is 0.9,what is the probability that at least one person among the next five entering the shop will not purchase bread? Q:3: If 3% of the electric bulb manufactured by a company are defective , find the probability that in a sample of 100 bulbs (i) more than 5 (ii) less than 2 will be defective. Q:4:Discuss the relationship between mean and variance of Hyper geometric distribution. Instructor's signature:
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 70 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 70 tons and standard deviation o = 1.4 ton. n USE SALT (a) What is the probability that one car chosen at random will have less than 69.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 30 cars chosen at random will have a mean load weight x of less than 69.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 69.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? O Yes O No Suppose the weight of coal in 30 cars selected at random had an average x of less than 69.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? O Yes, the probability that…
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Show full answers and steps deriving to the questions being asked in the exercise. Please don’t use R or excel when calculating expected value or variance. Formula calculate required
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