Question: Determine the probability that at least 2 people in a room of 10 people share the same birthday, ignoring leap years and assuming each birthday

Determine the probability that at least 2 people in a room of 10 people share the same birthday, ignoring leap years and assuming each birthday is equally likely, by answering the following questions:
(a) Compute the probability that 10 people have 10 different birthdays.
(b) The complement of “10 people have different birthdays” is “at least 2 share a birthday.” Use this information to compute the probability that at least 2 people out of 10 share the same birthday.

Step by Step Solution

★★★★★

3.52 Rating (176 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a P 10 different birthd... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

445-M-S-P (1418).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

What is the probability that at least 2 people have the same birthday in a group of 12 people? Assume that there are 365 days in a year.

What is the probability that at least 2 people have the same birthday in a group of 35 people? Assume that there are 365 days in a year.

The Bonferroni theorem states that the probability that at least one of a set of events occurs can be no greater than the sum of the separate probabilities of the events. For instance, if the...

Determine the probability that at least 2 people in a room of 10 people share the same birthday, ignoring leap years and assuming each birthday is equally likely, by answering the following...

Determine the probability that at least 2 people in a room of 13 people share the same birthday, ignoring leap years and assuming each birthday is equally likely, by answering the following...

Determine the probability that at least 2 people in a room of 13 people share the samebirthday, ignoring leap years and assuming each birthday is equallylikely, by answering the followingquestions:...

1. A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 50 adult Americans and asks them whether or not they support the proposed changes. To say...

Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure does not represent the center of the data, explain why. The durations (in minutes) of...

hj Intability Rules 97 19 We must emphasize that events are not always independent. In Example 3.19 the computers might have their power supply from the same electrical circuit, and that circuit may...

g l'habdity Rules 97 19 We must emphasize that events are not always independent. In Example 3.19 the computers might have their power supply from the same electrical circuit, and that circuit may...

2 Simplify (1 cosA)(1+ cot?A)

Using Fig. 3.1-1, the lower plate is being pulled at a relative velocity of 0.40 m/s greater than the top plate. The fluid used is water at 24C. a. How far apart should the two plates be placed so...

A significant benefit of alternative investment exposure is diversification. TrueFalse

27 CROCO S.p.A sells an intangible asset with a historical acquisition cost of 12 million and an accumulated depreciation of 2 million and reports a loss on the sale of 3.2 million. Which of the...

The High Roller observation wheel in Las Vegas has a maximum height of 550 feet and a diameter of 520 feet, with one full rotation taking approximately 30 minutes. Find an equation for the wheel if...

In the early seventeenth century, Johannes Kepler discovered that the square of the period T of the revolution of a planet around the Sun varies directly with the cube of its mean distance a from the...

Problems 5160 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. ...

ABC company has a standard deviation of expected returns of 40% and an expected return of 10 %. Calculate the Coefficient of Variation . Select one: a 4 b. 4 c. 25 d. 25 ABC company has a standard...

Which of the below statements about an investment's financial Stand-alone risk is relevant only for investments held in isolation. Corporate risk generally is most relevant for not-for-profit firms....

Stuart Company issued bonds with a $154,000 face value on January 1, Year 1. The bonds had a 5 percent stated rate of nterest and a five-year term. Interest is paid in cash annually, beginning...