3. Let W be a random variable giving the number of heads minus thenumber of tails in three tosses of a coin. list the elements of the samplespace S for the three tosses of the coin and to each sample space pointassign a value w of W.Hint: hot the ekments:P(W =w)PW)4. A shipment of 7 television sets contains 2 defective sets. A hotel makesa random purchase of 3 of the sets. if X is the number of distribution ofdefective sets purchased by the hotel, find the probability distribution ofX and themean of XHint: Combination frSapected valuePG)

As per bartleby guidelines we can solve only first question and rest can be reposted

Answered: 3. Let W be a random variable giving…

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 assets (in billions of dollars) of the four wealthiest people in a particular country are 39, 28, 22, 13. Assume that samples of sizen=2 are randomly selected with replacement from this population of four values. a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined. Probability Probability 39 25 33.5 22 30.5 20.5 28 17.5 26 13 (Type integers or fractions.)
(Jeff Bezos), Bill Gates (BG) 66 Elon Musk (EM) 50 Jeff Bezos (JB) 57 Mark Zackenberg (MZ) 37 Warren Buffet (WB) 91 1. Assuming that 2 of the ages are randomly selected with replacement, list the 25 possible samples 2. Find the mean of each of the 25 samples, then summarizing the sampling distribution of the means in the format of a table representing the probability distribution. 3. Compare the population mean to the mean of the sample means. 4. Do the sample means target the value of the population mean? In general, do sample means make good estimators of population means? 9
Suppose that three of your family (ex: mother,father and you) drop their cell phones at your house and that each of them picks up the cellphone at random, list the elements of the sample space S using using the letter O and N for own phone and not his/her own phone to be picked, respectively. To each sample point assign a value x of the random variable X representing the number of people who get their right cell phone . Complete the table below.
Assume that 900 births are randomly selected and 443 of the births are girls. Use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.
Use Table, to draw a random sample (without replacement) of size 5 from a population of 24 units.
A statistics teacher asked two different students, Lexie and Jennifer, to go to Wegmans and sample 30 shoppers each. The population of interest for both people can be defined as, “People who shop at the Johnson City, NY Wegmans store”. Here is what each person did to collect their sample: Lexie: She stood outside at the entrance to the store on 3 different days and times and surveyed every 15th person to walk by her. She surveyed 10 people each time to get her 30. Jennifer: She went to Wegmans after her nursing shift first thing Wednesday morning to buy deodorant since she ran out. When she was in the pharmacy area she surveyed all the people around her and then, to get up to 30 surveys, she went to the health food section and surveyed everyone she was there. Identify at least 2 specific reasons why Lexie’s approach is more likely to give a representative sample. Consider sources of bias, or types of shoppers who might be excluded by Jennifer’s approach.…
II. Supply the table with the corresponding random variable and/or the possible values of the random variable for each experiment. Possible values (x) for the Experiment Random Variable (X) Random Variable Number of customers who 1. Contacting 10 customers 0, 1, 2, 3, 4,5 placed a complaint 2. Inspection of shipment of 100 laptops 3. Filling a bottle of water (maximum of 500 mL) 0, 1,2, .,99, 100 0sxs 500 The temperature when the desired reaction takes place (minimum of 40°C; maximum of 90* C) 4. Testing of new chemical process 5. Selling an automobile O if male; 1 if female

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3. Let W be a random variable giving the number of heads minus the number of tails in three tosses of a coin. list the elements of the sample space S for the three tosses of the coin and to each sample space point assign a value w of W.