Question
In: Statistics and Probability
Given a group of four people, find the probability that: (a) at least two have the...
Given a group of four people, find the probability that: (a) at least two have the same birth month (b) at least two have the same birthday Assume each day or month is equally likely. Ignore leap years. [Hint: First calculate the probability that they all have different birthdays. Similar to Q5 but with either 12 or 365 hotels.]
Answer to a) should be 0.427
Answer to b) should be 0.00164
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Answer:
(a)
(b)
orchestra answered 1 year agoRelated Solutions
What is the probability that in a group of three people at least two will have...
What is the probability that in a group of three people at least
two will have the same birth month? (Assume that all sequences of
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that in a group of n people, n ≤ 12 , at least two will have the
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BACKGROUND: Given a group of 'n' people, the odds that at least two people have the...
BACKGROUND: Given a group of 'n' people, the odds that at least
two people have the same birthday are much higher than you would
think.
PLEASE WRITE CODE IN C++
The program takes no input.
Assumptions:
1. There is an equal chance of birthday landing on any day of
the year.
2. We are not considering a leap year (only 365 days)
The simulation will be run in the following manner:
1. For a group size 2, assign a random...
Determine the probability that in a group of 5 people, at least two share the same...
Determine the
probability that in a group of 5 people, at least two share the
same birth month. Assume that all 12 months are equally
likely to be someone’s birth month.
a) How many choices are there for the birth months of these 5
people (without any restrictions)?
b) How many choices are there for the 5 people to have all
different birth months?
c) Report the probability that in a group of 5 people, at least
two share the...
The birthday problem considers the probability that two people in a group of a given size...
The birthday problem considers the probability that two people
in a group of a given size have the same birth date. We will assume
a 365 day year (no leap year birthdays).
Code set-up
Dobrow 2.28 provides useful R code for simulating the birthday
problem. Imagine we want to obtain an empirical estimate of the
probability that two people in a class of a given size will have
the same birth date. The code
trial = sample(1:365, numstudents, replace=TRUE)
simulates...
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