Statistics
posted by BadatStat .
A game at the state fair has a "guesser" guess the month of your birth. You win a prize if he misses your month by more than 2 months (for ex: if you were born in April, and he guesses February, he wins; if he guessed January, you win). For simplicity, assume that all 12 months are equally likely birth months, and that the results of all games are independent.
a. In the course of a night, the guesser has 6 players. What is the distribution of the number of players who win?
b. If the guesser has 6 players, find the probabilty that he wins more than half of those games.
Please help.. I have no idea what I'm doing T_T

For any given birthmonth the guesser wins by guessing the 5 months "around" that month.
e.g. if born in June, the correct choices would be
April, May, June, July , and August, which is 5 months.
Prob(guesser wins) = 5/12
prob(1 win out of 6) = C(6,1) (5/12) (7/12)^5 = ....
prob(2 wins out of 6) = C(6,2) (5/12)^2 (7/12)^4 = ..
prob(3 wins out of 6) = C(6,3) (5/12)^3 (7/12)^3 = ...
...
..
prob(6 wins out of 6) = C(6,6)(5/12)^6 = ...
b) prob (he wins more than half of the 6 games)
= (add up the prob of 4, 5, and 6 wins)
Respond to this Question
Similar Questions

science
Mice are famous for their ability to multiply at break make speed the type of mouse we have here gives birth once a month. Birthing 12 babies each time, baby mice mature and can give birth two months after they are born, you picked … 
computers
Write a program that will ask the user to enter a person's age, weight and birth month. Your program will compare the entered value to the following and print the appropriate response. Be sure to use modules. The secret answers: age=25 … 
programming
Write a program that will ask the user to enter a person's age, weight and birth month. Your program will compare the entered value to the following and print the appropriate response. Be sure to use modules. The secret answers: age=25 … 
Statistic
If a person told you what month he was born, would it be unusual to guess the date of his birth ( not including the year)? 
Statistics
There is a $2 raffle with a first prize of $10000, a second prize of $500, and a 3rd prize of $100. If 1000 tickets are sold find the expected value. How much should the raffle ticket cost to make this a fair game? 
MATH
Mrs. Wilkerson noticed that her inlaws’ birth dates have an unusual property. Her motherinlaw was born 53136, and her fatherinlaw was born 92534. Furthermore, her hus band’s grandfather was born 7714. How many birth … 
MATH :D
Mrs. Wilkerson noticed that her inlaws’ birth dates have an unusual property. Her motherinlaw was born 53136, and her fatherinlaw was born 92534. Furthermore, her hus band’s grandfather was born 7714. How many birth … 
algebra 1
Mrs. Wilkerson noticed that her inlaws’ birth dates have an unusual property. Her motherinlaw was born 53136, and her fatherinlaw was born 92534. Furthermore, her hus band’s grandfather was born 7714. How many birth … 
algebra
Lizeth noticed that her grandparents’ birth dates have an unusual property. Her grandmother was born 5 3136, and her grandfather was born 92534. Furthermore, her greatgrandfather 71714. How many birth dates in a century have … 
Math
Mike started a savings account by depositing $9. Each month, he deposits more money than the month before. At the end of 41 months, he has saved $9,389.00. How much more does he deposit each month?