There are 4 people in a room. What’s the probability that there are two people born on the same day of the week? (Assume all birthdays are independent and are uniformly distributed over the seven days of the week.)
There are 4 people in a room. What’s the probability that there are two people born...
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=?
please help me understand this problem.
k people in a room. We would like to find the probability that any two people 5. Suppose that there are have birthdays within a day of each other (which we'll call "near-day birthdays"). The number of pairs and the probability that any two people are born within a day of each other is of people would be S4Therefore, we would expect the average number of near-day birthday pairs to be be a Poisson...
(8 points) How many people must be in a room to ensure that at least two of them were born on the same day of the week? How many to ensure that at least five of them were born on the same day of the week?
Find the probability that in a class of 35 students exactly 3 were born in each of the seven days of the week. Assume that there is no relation between birthday and day of the week.
What is the probability that two randomly selected people were born on different days of the week? (Answer to 2 digits after the decimal point.)?
in python The birthday paradox says that the probability that two people in a room will have the same birthday is more than half, provided n, the number of people in the room, is more than 23. This property is not really a paradox, but many people find it surprising. Design a Python program that can test this paradox by a series of experiments on randomly generated birthdays, which test this paradox for n = 5, 6, 7, ..., 50....
In a group of 5 people, what is the probability that they all have different birthdays? [Assume that each is equally likely to be born on any of the 365 days of the year, i.e. no one is born on Feb. 29 in a leap year.]
10. If there are 25 people in a room, what is the probability that at least two people have the same birthday? 11. A family has three children. Find the conditional probability of having two boys and a girl given that the first born is a boy.
a If there are 6 people in a room, find the probability at least 2 were born in the same month. b How many people must be in a room to guarantee that at least 2 were born in the same month? C. In a crowd of 3000 people, must at least 8 have the same birthday?
Birthday problem). Assume that a host invites n guests and that days of all n+1 people are independent and uniformly distributed acros Exercise 1.10 ( the birth all the 365 days of the year 1. Prove the following: The probability that two of the guests share the same birth- day is larger than one-half if and only if n 2 23. 2. How large should n be so that the probability that at least one of the guests has the...