Question

You go to a party with 500 guests (including you). Let X be a random variable representing the number of people in the party who have the same birthday as you. (For simplicity, exclude birthdays on February 29). (a) What is the probability mass function (PMF) of X? (b) What is the probability that exactly one other guest has the same birthday as you? (c) Approximate the probability that exactly one other guest has the same birthday as you, using the Poisson approximation

Name: you go to a party with 500 guests including you let x be a random variable representing the number of people in the party who have the same birthday as you for simplicity exclude birthdays o 33342
Uploaded: 2022-09-18T19:47:38-08:00
Duration: 1 min 19 s
Channel: Sri K
Description: you go to a party with 500 guests including you let x be a random variable representing the number of people in the party who have the same birthday as you for simplicity exclude birthdays o 33342

          You go to a party with 500 guests (including you). Let X be a
random variable representing the number of people in the party who
have the same birthday as you. (For simplicity, exclude birthdays
on February 29).
(a) What is the probability mass function (PMF) of X?
(b) What is the probability that exactly one other guest has the
same birthday as you?
(c) Approximate the probability that exactly one other guest has
the same birthday as you, using the Poisson approximation

Added by Alec F.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Sri K

09/18/2022

Step 1

- \( X \) is the number of people in the party (excluding you) who have the same birthday as you. Show more…

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You go to a party with 500 guests (including you). Let X be a random variable representing the number of people in the party who have the same birthday as you. (For simplicity, exclude birthdays on February 29). (a) What is the probability mass function (PMF) of X? (b) What is the probability that exactly one other guest has the same birthday as you? (c) Approximate the probability that exactly one other guest has the same birthday as you, using the Poisson approximation