Question

In: Statistics and Probability

Suppose you are living on the planet Triskelion with your friends. If all birthdays are independent...

Suppose you are living on the planet Triskelion with your friends. If all birthdays are independent and all 88 days of Triskelion’s year are equally likely, what’s the probability that there is at least one birthday match among x people in a room? Graph this for x = 2, 3, . . . , 88. In particular, what does x have to be in order to assure at least a 50–50 chance of a match?

Solutions

Expert Solution


Related Solutions

dentify all the characteristics associated with all living organisms on this planet.
dentify all the characteristics associated with all living organisms on this planet.
Suppose that the birthdays of different people in a group of n people are independent, each...
Suppose that the birthdays of different people in a group of n people are independent, each equally likely to be on the 365 possible days. (Pretend there's no such thing as a leap day.) What's the smallest n so that it's more likely than not that someone among the n people has the same birthday as you? (You're not part of this group.)
You plan to visit one of your friends living in Colorado, America in three months. You...
You plan to visit one of your friends living in Colorado, America in three months. You expect to incur the total cost of US$20,000 for lodging, meals, and transportation during your stay. As of today, the spot exchange rate is RM_____/ US$ and the three-month forward rate is RM_____/ US$ (please refer to Table 1 below for your given rates). You can buy the three-month call option on US$ with the exercise rate of RM4.3/ US$ for the premium of...
Suppose you are considering whether to go to Paris with a group of friends during your...
Suppose you are considering whether to go to Paris with a group of friends during your Christmas holiday. The round trip airfare from Hong Kong to Paris is $12,000, but you have an option to pay this airfare with a frequent- flyer coupon. All other relevant costs of the vacation in Paris add up to $15,000. The most you will be willing to pay for the Paris trip is $25,000, which indicates the benefit you can gain from this trip....
Suppose your friends have the following ice cream preferences: 42% of your friends like chocolate (C)....
Suppose your friends have the following ice cream preferences: 42% of your friends like chocolate (C). The remaining do not like chocolate. 12% of your friends like sprinkles (S) topping. The remaining do not like sprinkles. 9% of your friends like Chocolate (C) and also like sprinkles (S). Of the friends who like sprinkles, what proportion of this group likes chocolate? (Note: Answers are rounded to four decimal places.)
Seventy percent of all individuals living in the United States have a smart phone. Suppose you...
Seventy percent of all individuals living in the United States have a smart phone. Suppose you select a random sample of 11 individuals who live in the United States. Define X to be a binomial random variable representing whether or not an individual living in the United States has a smart phone. a.) What is the probability that no more than five of the sampled individuals have a smart phone? b.) What is the probability that at least 7, but...
Seventy percent of all individuals living in the United States have a smart phone. Suppose you...
Seventy percent of all individuals living in the United States have a smart phone. Suppose you select a random sample of 11 individuals who live in the United States. Define X to be a binomial random variable representing whether or not an individual living in the United States has a smart phone. What is the probability that no more than five of the sampled individuals have a smart phone? ANSWER:  (Use only the appropriate formula and/or statistical table in your textbook...
PROBLEM 6. Suppose that the birthdays of different people in a group of n people are...
PROBLEM 6. Suppose that the birthdays of different people in a group of n people are independent, each equally likely to be on the 365 possible days. (Pretend there's no such thing as a leap day.)What's the smallest n so that it's more likely than not that someone among the n people has the same birthday as you? (You're not part of this group.)
Background Busy Sally Socialite has trouble remembering people's birthdays, so she has organised her friends into...
Background Busy Sally Socialite has trouble remembering people's birthdays, so she has organised her friends into what she calls a Birthday Support Team, or BST. Each friend needs only to keep track of three items of information: their own birthday (which of course they do not need to write down), the name of someone whose birthday comes earlier in the year than their own (which they write on a card and keep in their left pocket), and the name of...
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...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT