3. Let T be a random variable giving the number of heads in three tosses of a coin. Listthe elements of the sample space S for the three tosses of the coin and assign avalue to each sample point.Value of the Random Variable TProbability P(T) B. Construct the probability distribution for the random variables described in each of thefollowing situations. Draw the corresponding histogram for each probabilitydistribution.1. Four coins are tossed. Let Z be the random representing the number of heads thatoccur. Find the values of the random variable Z.Value of the Random Variable ZProbability P(Z)

According to Bartleby guildlines we have to solve first question and rest can be reposted.... Given…

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

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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1. Which of the folowing is a discrete random variable? a. the average amount of electricity consumed b. the of patients in a hospital c. the amount of paint used in repainting a building d.the average weight of female athlets
(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.
A population of the values 2, 4, and 7. List down all the possible samples of size 2 which can be drawn from this population. Find the following: 1. List all of the possible sample of size of 2. 2. Compute the mean of each sample 3. Identify the probability of each sample 4. Illustrate the histogram
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
A2 The sample space of an experiment is S={0,1,2.5,6}. All sample space elements have equal probability of occurrence. A random variable is defined as X=S+1. The mean value of random variable X is? A- 4.75 B- 2.5 C- 1.25 D- 3.38
Assume that a coin is tossed twice. The coin may not be fair. The sample space consists of the outcomes (HH, HT, TH, TT}. Outcome HH HT TH TT Probability 0.38 1.04 0.09 0.27 Is the given a probability model? No No Yes
Let the sample space be S = {p, e}. How many events are there?
Let W be a random variable giving the number of heads minus the number of tails in three tosses of coin. List the elements of the sample space S for the three tosses of the coin and to each sample point, assign a value w of W, and compute the probability associated to each w.
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3. Let T be a random variable giving the number of heads in three tosses of a coin. List the elements of the sample space S for the three tosses of the coin and assign a value to each sample point. Value of the Random Variable T Probability P(T)