i need a clear explanation . 2. Consider a group of 3 students. Each student has...
. In a class of 50 students, assuming every student has a birthday at random from one of the 365 days independently of each other, what is the expected number of days none of the students has a birthday on? What is the expected number of days that are the birthdays of exactly one student?
4. For the following problem, ignore the year of birth while comparing two birthdays. Moreover, assume that the year is exactly 365 days (ignore the 29th of February) Note that matching birthdays means the birthdays are the same (a) You are a member of a class room that has n +1 students including you. What is the probability that you find at least one student, other than you, who has a birthday that matches yours? (b) In another classroom that...
4. For the following problem, ignore the year of birth while comparing two birthdays. Moreover, assume that the year is exactly 365 days (ignore the 29th of February) Note that matching birthdays means the birthdays are the same (a) You are a member of a class room that has n 1 students including you. What is the probability that you find at least one student, other than you, who has a birthday that matches yours? (b) In another classroom that...
. Consider your class of 29 students. Calculate the probability that at least two students have the same birthday. For this purpose, assume each day of the year is represented by a box, and we place the name of the student in the box corresponding to their birthday. (a) List total number of possible arrangements. (b) List total number of arrangements that do not have two names in the same box. Obtain the probability that no two students have the...
5.36. (a) In a group of 23 strangers, what is the probability that at least two of bout if there are 40 strangers? In a group them have the same birthday? How a of 200 strangers, what is the probability that one of them has the same birthday as your birthday? (Hint. See the discussion in Sect. 5.4.1.) (b) Suppose that there are N days in a year (where N could be any number) and that there are n people....
Let ?? be the probability that in a group of ? people, at least two share the same birthday. Assume there are 365 days in a year, and that all birthdays are equally likely. a) What is the probability that in a group of 2, 3, 4, or 5 people, at least two have the same birthday? ?2=? ?3=? ?4=? ?5=?
What is the probability that at least two students in our class share the same birthday? Assuming that: Birthdays follow a uniform distribution. We have 35 students in our class! No one was born in a leap year. There are 365 days in a year!
(1 point) Consider the experiment, called the birthday problem, where our task is to determine the probability that in a group of people of a certain size there are at least two people who have the same birthday (the same month and day of month). Suppose there is a room with 10 people in it, find the probability that at least two people have the same birthday, Ignore leap years; assume each year has 365 days. Answer
Problem 2. A group of 30 students are of increasing student number by comparing two at a time and swapping them if they are not in order What is the maximum number of swaps that we will need to do? You can assume that all students have distinct student numbers standing in a line. We plan to sort them into order Problem 2. A group of 30 students are of increasing student number by comparing two at a time and...
What is the probability that exactly two people and I in a group of 180 people in total have birthdays on three consecutive days? Assume the following 1. 365 days in the year (no leap year) 2. Only one person has a birthday on each of those three days Include a leading zero and five digits to the right of the decimal place. Your answer should be of the form 0.12345. Use standard rounding: 0.123454 rounds to 0.12345 and 0.123455...