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 have the same birthday is greater than 1/2.

c. Do problem part (a) a different way.

d. Do problem part (b) a different way.

Expert Solution

orchestra answered 1 year ago

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?

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.)

Complex Numbers: What's the difference between Log(z), log(z) and ln(z)? where z is a complex number,...

Complex Numbers: What's the difference between Log(z), log(z) and ln(z)? where z is a complex number, z = x + iy

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).

In one of the southern regions of the planet, several people were diagnosed with cholera. This...

In one of the southern regions of the planet, several people were diagnosed with cholera. This is a particularly dangerous infectious disease that can spread rapidly if urgent measures are not taken. A patient with acute diarrhea, vomiting, muscle weakness, and spasms in the calf muscles was admitted to the admission department of the hospital. The skin of the hands is wrinkled, blood pressure is low. Examination of the patient confirmed the diagnosis of cholera. The causative agent of cholera,...

Suppose a planet was discovered with life and you were a member of a team of...

Suppose a planet was discovered with life and you were a member of a team of scientists who were selected to study these new life forms. During your analyses of fossils from this new planet you discovered that speciation rates appear to be 10 times faster than on Earth. Formulate a series of hypotheses (at least 5) for why speciation might be faster on the newly discovered planet. Each hypothesis should include an explanation of how the mechanism would foster...

Suppose an object falls from a great height on a planet where the constant of the...

Suppose an object falls from a great height on a planet where the constant of the acceleration of gravity is g = 7.84. Assume that the resistance of the atmosphere is proportional to the square of the velocity of the object with constant of proportionality k = 0.25. Establish and solve an Initial Value Problem to express the velocity of the object as a function of time. Find the terminal velocity of the object. Graph this function. Then express the...

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...

Hi can you expand clairly this quote"It used to be that people were born as part...

Hi can you expand clairly this quote"It used to be that people were born as part of a community, and had to find their place as individuals. Now people are born as individuals, and have to find their community"

A group of twenty-seven people is selected at random. What is the probability that at least...

A group of twenty-seven people is selected at random. What is the probability that at least two of them will have the same birthday? (Round your answer to four decimal places.)

Question