Recent content by KenNKC

Another great deal there is 2 bacon cheeseburgers, fries, and a drink for $4 with a coupon.

The test for equal proportions did the trick. I have a book with results of problems of the same type as my example, but the method to derive them isn't included. The equal proportions test got the right answers. For my example, the probability is about 83%. Thanks for everyone's input.

Thanks for the replies. To clarify, I'm assuming both players faced equal quality pitching. Assuming a normal distribution, the true talent of player A with a 95% certainty is between .248 and .352. For player B the range is from .165 to .335. So player A's true talent could be .270 for example...

Let's say baseball player A gets 90 hits in 300 at bats, and player B gets 25 hits in 100 at bats. The true ability of both players is unknown. What is the probability that player A has a higher true ability than player B? Would the Student's t-test be used to calculate this? Thanks.

Thanks for all the replies everyone! A very interesting discussion.

Let's say a spaceship from Earth (via a wormhole or something) suddenly found itself in a random place in the Milky Way galaxy. Assuming the crew possesses all of our current knowledge of the galaxy, and time was not a factor, would they be able to locate where our Sun is, and travel back to it?

I mistakenly thought the Poisson formula was for dependent trials; for independent ones, the results do agree quite closely for streaks of 11 or more. See second column of the chart in post 9 . It appears there is no easy way to calculate or estimate streak probabilities for dependent trials...

I ran 1000 seasons of a baseball team going exactly 100-62, recording the longest winning streak in each. This would be a with replacement experiment. In the table below, the first column lists the maximum streak lengths. The second column lists the actual probabilities of at least that long of...

Thanks for the formula! I minored in statistics in college many many years ago, so should be able to make sense of it. I can get estimates of some of these values via simulation, so that will help in checking against what I get from the formula.

Thank you, I appreciate the helpful reply. Looking at that older thread, I believe this is going to be too involved for me to tackle. I want to apply this to a baseball season where a team goes 100-62 (but the W-L sequence is unknown), then calculate the probabilities of maximum winning streaks...

Thank you for the link! I am trying to understand the formulas and adapt them for my purposes.

Let's say you have 5 successes in 7 trials. There are a total of 21 different ways to arrange them. How many times will the longest streak of successes be 5, 4, 3, and 2? I figured this out by brute force, but wondered if there was a formula to calculate it, one that could be used for any x...