Consider the experiment of rolling five (5) dice, each with 25 sides numbered 1 through 25, where each die is fair, i.e. the sample space consists of equally likely outcomes. Compute the expected sum of the four dice with the highest values. For example, after rolling, the dice show 2, 10, 4, 2, and 13. Since 2 is the lowest value showing on these dice, the sum in this case is 2 + 10 + 4 + 13 = 2

Consider the experiment of rolling five (5) dice, each with 25 sides numbered 1 through 25, where each die is fair, i.e. the sample space consists of equally likely outcomes. Compute the expected sum of the four dice with the highest values. For example, after rolling, the dice show 2, 10, 4, 2, and 13. Since 2 is the lowest value showing on these dice, the sum in this case is 2 + 10 + 4 + 13 = 2

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

Suppose that we roll two fair dice, one red and one blue. Then there are 36 possible outcomes in the sample space, as shown in the table below. Blue Die 1 4 6. 1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) 2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) 3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) 84 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) A 5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) 6 (6,1) (6,2) (6,3) (6,4)| (6,5) (6,6) Suppose we write the sample space in terms of the number of dots facing up on the two dice. That is, write S = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Use the table to answer each of the following: Complete the probability distribution function (pdf). Enter your answer as a fraction. Sample space Probability 2 3 4.
When two births are randomly selected, the sample space for genders is bb, bg. gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is , and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. Probability Sample proportion of girls Tune intanare or cimnlifiad frartinne
Assume that the box contains 5 balls: 2 yellow, 1 white, and 2 green. Balls are drawn in succession without replacement, and their colors are noted until both a yellow and a white ball have been drawn. 1. Which of the following is not a valid outcome for this experiment? A. WGY B. GGWY C. YGYW D. YWG 2. How many outcomes are there in the sample space?
he concept of probability, including the notion of an experiment, outcomes, and sample space. How can each of these be useful to us?
Consider the experiment of rolling five (5) dice, each with 19 sides numbered 1 through 19, where each die is fair, i.e. the sample space consists of equally likely outcomes. Compute the expected sum of the four dice with the highest values. For example, after rolling, the dice show 2, 10, 4, 2, and 13. Since 2 is the lowest value showing on these dice, the sum in this case is 2 + 10 + 4 + 13 = 29. We gave two approaches to a similar problem in class: • An inefficient algorithm for computing the expected value. • An efficient computation using linearity of expected value. Either method is fine, but consider the larger potential for rounding error using the algorithm. Such error is completely avoidable using either method, however, so your answer is expected to be accurate to four decimal places.
If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the probability Of randomly selecting 3 patients in a row who have the flue?
An experiment consists of rolling a pair of dice once. Let Y be the random variable representing the absolute value of the differece of the numbers that come up.
The probability that an individual is left-handed is 12%. In a randomly selectedclass of 30 students, what is the probability of finding exactly 4 left-handedstudents?
A three dice is a six sided dice with only the numbers 1,2 and 3 . The usual numbers 4,5 and 6 are replaced by 1,2 and 3 respectively . 4 three-dice (with sides labeled 1,2 and 3) are rolled and the numbers face up on the 4 dice recorded . Give the sample space for this experiment . What is the probability that at least one of the dice rolled is showing a 2? What is the probability that at least one of the dice rolled is showing at 3 ?