1. Suppose that 100 balls are placed into 30 boxes at random and independently.(a) What is the expected number of the empty boxes?(b) What is the expected number of the boxes containing exactly one ball?

Expected probability: Expected probability is calculated as the probability of an event multiplied…

Answered: 1. Suppose that 100 balls are placed…

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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Suppose that a course has 3 sections with 50, 70, and 80 students, respectively. (a) We randomly pick one student, and everyone in the same section as that student gets a candy bar. What's the expected number of candy bars we'd give out? (b) We randomly pick one of the 3 sections, and give all of their students a spooky costume. What's the expected number of costumes we'd give out?
Suppose that a course has 3 sections with 50, 70, and 80 students, respectively. We random pick one student, and everyone in the same section as that student gets a candy bar. What's the expected number of candy bars we'd give out?
1. Calculate the following probabilities (a) The probability of taking 3 red balls from a bag containing 4 red balls, 6 blue balls, 3 green balls. (b) The probability of tossing 4 coins and exactly getting 4 heads.(c) The probability of winning a game that requires you to throw exactly 3 six's when throwing 4 dice. (d) The probability of being the 6. person selected from a group of 13 . (e) The probability of winning a game which requires you to answer correctly 4 consec- utive questions in a topic, where you have a 65% chance of answering each question correctly.
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An urn that contains 100 balls, 10 red balls, 15 green, and the other 75 are blue. Five balls from this urn are randomly selected. Find the expected number of selected balls are green, given that at least one of the selected is red. а. b. Six balls are selected at random, what is the probability of all of them are blue? A ball is selected and thrown away, then another ball is selected, what is the probability of the second ball is green? C.
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1. Suppose that 100 balls are placed into 30 boxes at random and independently. (a) What is the expected number of the empty boxes? (b) What is the expected number of the boxes containing exactly one ball?