Consider an urn containing 1000 balls. Suppose that the balls are numbered from 1 to 1000. Consider the case when we draw only 50 balls out of the 1000, WITHOUT replacement. Denote by S the total sum of the numbers observed in the 50 trials. Find the mean of S. Compare to the case where there IS replacement.

Consider an urn containing 1000 balls. Suppose that the balls are numbered from 1 to 1000. Consider the case when we draw only 50 balls out of the 1000, WITHOUT replacement. Denote by S the total sum of the numbers observed in the 50 trials. Find the mean of S. Compare to the case where there IS replacement.

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...

See similar textbooks

Similar questions

Cal Poly Pomona found that 15% of its students withdraw without completing Calculus I course. Assume that 30 students registered for the course. Let X be the number of students who withdraw. What distribution does X follow?
The average fruit fly will lay 389 eggs into rotting fruit. A biologist wants to see if the average will be fewer for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 358, 388, 362, 382, 371, 385, 384, 393, 403, 389, 405 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho? Select an answer♥ H₁ PS Select an answer c. The test statistic ? (please show your answer to 3 decimal
The average fruit fly will lay 377 eggs into rotting fruit. A biologist wants to see if the average will be greater for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 367, 374, 364, 388, 407, 369, 375, 362, 403, 383, 381, 391, 371 What can be concluded at the the αα = 0.10 level of significance level of significance? The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
The average number of cavities that thirty-year-old Americans have had in their lifetimes is 5. Do twenty year-olds have fewer cavities? The data show the results of a survey of 15 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 3, 4, 4, 4, 5, 5, 6, 4, 5, 4, 3, 5, 6, 5, 3 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v|| Select an answer H: ?v Select an answer v c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly less than 5 at o =- 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for…
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
Find the mean and variance of the number of games in the World Series. Assume we have two teams, A and B. Recall that it is won by the first team to win four out of the seven games and assume that the outcomes are determined by flipping a coin.
The average final exam score for the statistics course is 43%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is larger. The final exam scores for the 19 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 54, 38, 45, 47, 42, 42, 48, 38, 56, 51, 46, 41, 43, 41, 37, 40, 53, 43, 43 Copy to clipboard What can be concluded at the = 0.05 level of the significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H1: ? Select an answer c. The test statistic ? v (please show your answer to 3 decimal places.)
Describe about the Sampling Distribution of t.
Suppose that the five original Skittles colors are produced in equal quantities. Let p = the proportion of Skittles that are yellow. Then p = 0.2. An Elementary Statistics class will take a random sample of 500 Skittles. Find the probability that the obtained p will be greater than 0.25.
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: List all of the possible sample of size of 2. Compute the mean of each sample Identify the probability of each sample illustrate the histogram
The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 13 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 9, 8, 8, 10, 10, 9, 9, 10, 6, 6, 9, 8, 8 What can be concluded at the α = 0.01 level of significance? The p-value = _______ (Please show your answer to 4 decimal places.) The p-value is _______ α Based on this, we should _________ the null hypothesis.
The arithmetic mean of a distribution is 5 .The second and the third moments of the distribution about the mean are 20 and 140 respective. Find the third moment of the distribution about 10