Question
In: Statistics and Probability
What is the probability that out of four people, no two were born on the same...
What is the probability that out of four people, no two were born on the same day of the week?
Solutions
orchestra answered 1 year agoRelated Solutions
There are 4 people in a room. What’s the probability that there are two people born...
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.)
A) If four babies are born in a given hospital on the same day, what is...
A) If four babies are born in a given hospital on the
same day, what is the probability that all four will be boys?
B) if four babies are born in a given hospital on the same day,
what is the probability that 3 will be girls and 1 will be a
boy?
C) You flip a coin twice what is the probability that it lands on
heads once and tails one?
What is the probability that out of a class of 25 people at least two have...
What is the probability that out of a class of 25 people at
least two have the same birthday? Assume that each birthday is
equally likely and that there are only 365 days on which to be born
each year. State you answer as a decimal rounded to six decimal
places.
Suppose 26 people are on Planet Z, where they were born. What's the probability at least...
Suppose 26 people are on Planet Z, where they were born. What's
the probability at least two of them have the same birthday? (On
Planet Z, a year is about 400 days; you may assume a person is
equally likely to have been born on any day in the Planet Z
year.)
b. Now suppose n people are on Planet Z, where they were born.
Find the smallest n such that the probability that at least two of
the people...
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...
What's the probability that in a room of k people, exactly two share the same birthday?...
What's the probability that in a room of k people,
exactly two share the same birthday? Assume 365 days (no
leap year).
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
In a four-digit lottery, each of the four digits is supposed to have the same probability...
In a four-digit lottery, each of the four digits is supposed to
have the same probability of occurrence. The table shows the
frequency of occurrence of each digit for 87 consecutive daily
four-digit drawings.
Digit
Frequency
0
37
1
40
2
31
3
43
4
34
5
31
6
37
7
29
8
30
9
36
Total
348
(b) Calculate the chi-square test statistic,
degrees of freedom, and the p-value. (Round your
test statistic value to 2 decimal places and...
In a four-digit lottery, each of the four digits is supposed to have the same probability...
In a four-digit lottery, each of the four digits is supposed to
have the same probability of occurrence. The table shows the
frequency of occurrence of each digit for 83 consecutive daily
four-digit drawings. Digit Frequency 0 26 1 32 2 27 3 40 4 31 5 31
6 33 7 44 8 33 9 35 Total 332 Click here for the Excel Data
File
(a) The hypothesis for the given issue is H0: The digits come
from a uniform...
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
three birth months are equally likely.) (b) What is the probability
that in a group of n people, n ≤ 12 , at least two will have the
same birth month? (c) What is the probability that in a group of n
people, n > 12 , at least two will have the same birth...
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