Geometric Distributions Anyone?

In summary, the person is struggling with question 10 and is unsure how to account for the different time. They have attached a picture of the answer and are trying to figure out how to calculate the chance of winning on the first try of the year, considering the order of the game.
  • #1
nicole58
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0
View attachment 3720

I'm struggling with question 10. I'm not sure how to account for the different time? I'm probably just overthinking it. I have attached a picture of the answer as well.View attachment 3721

Again, trying to figure out question #10
 

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  • #2
Hi nicole58,

Welcome to MHB! :)

Ok, let's start with calculating how she would win on the first try of the year. Any idea how you would do that?

It seems for this problem the order matters, which is strange for lottery type games but given the answer that is how this game is played. So what is the chance she wins the game on her very first try?
 

FAQ: Geometric Distributions Anyone?

What is a geometric distribution?

A geometric distribution is a probability distribution that describes the number of trials needed to achieve a success in a series of independent and identically distributed Bernoulli trials.

How is a geometric distribution different from a binomial distribution?

A geometric distribution only considers the number of trials needed to achieve a success, while a binomial distribution considers the number of successes in a fixed number of trials.

What is the formula for calculating the probability in a geometric distribution?

The formula for calculating the probability of exactly k trials needed to achieve a success in a geometric distribution is P(X=k) = (1-p)^(k-1)*p, where p is the probability of success in each trial.

Can a geometric distribution be used for continuous variables?

No, a geometric distribution is only applicable to discrete variables where the outcomes can be counted as whole numbers.

What are some real-life examples of a geometric distribution?

A geometric distribution can be used to model the number of times a person needs to roll a die to get a specific number, the number of attempts needed to win a game of bingo, or the number of emails needed to be sent before receiving a response.

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