Suppose people are born in any of the twelve months of the year with equal probability....
Suppose people are born in any of the twelve months of the year with equal probability. What is the probability that at least two of the people in a group of n people are born in the same month? What is the smallest value of n for which this is more than .5?
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Suppose people are born in any of the twelve months of the year
with equal probability....
Treat the number of months X after January I that someone is born as uniformly distributed...
Treat the number of months X after January I that someone is born as uniformly distributed from 0 to 12. R answers to 4 decimal places where possible. a. What is the distribution of X? X U b. Suppose that 39 people are surveyed. What is the distribution of # for this sample?N c. What is the probability that the average birth month of the 39 people will be less than 5.5?
What is the probability that two random selected people are born : a) in February &...
What is the probability that two random selected people are born :
a) in February & b) in the different months ?
in python The birthday paradox says that the probability that two people in a room will...
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....
Let ?? be the probability that in a group of ? people, at least two share...
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=?
10. What is the probability (give in %) that in a group of 3 people A....
10. What is the probability (give in %) that in a group of 3 people A. No two people have the birthday in the same month? B. At least two people have the birthday in the same month?
We proved in class that in a group of 23 people, the probability of two people...
We proved in class that in a group of 23 people, the probability of two people having the same birthday is 0.5073. Also, in a group of 100 people, the probability of two people having the same birthday is 0.9999998. On late-night television’s The Tonight Show with Johnny Carson (on air during 1962-1992), Carson was discussing the birthday problem. At a certain point, he remarked to his audience of approximately 100 people “Great! There must be someone here who was...
1. The birthday of six random people has been checked. Find the probability that (a) At...
1. The birthday of six random people has been checked. Find the probability that (a) At least one of them is born in September. (b) All five are born in the Spring. Spring here means one of the month March, April, or May. (c) At least two of them are born in the same month. In this problem you can assume that a year is 365 days. 2.A fair die is rolled three times. We say that a match has...
In a group of 5 people, what is the probability that they all have different birthdays?...
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.]
5.36. (a) In a group of 23 strangers, what is the probability that at least two of bout if there ...
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....
10. If there are 25 people in a room, what is the probability that at least...
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.
Treat the number of months X after January I that someone is born as uniformly distributed from 0 to 12. R answers to 4 decimal places where possible. a. What is the distribution of X? X U b. Suppose that 39 people are surveyed. What is the distribution of # for this sample?N c. What is the probability that the average birth month of the 39 people will be less than 5.5?
What is the probability that two random selected people are born :
a) in February & b) in the different months ?
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.]
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....
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