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Visually Identifying Mean of a Probability Density Function [03/06/2007]

When looking at the graph of a probability density function, I know the mode is the highest value it reaches, and the median splits the area under the curve equally, but how can you find the mean visually?

Waiting Time Distributions [06/08/1997]

What are waiting time distribution tables and how do you solve them?

Weather Forecasting [05/24/1997]

If the weather is dry one day, show that the probability that it will be dry n days later satisfies Pn = (2p - 1)Pn-1 + (1 - p) and P0 = 1.

What If You Paint the Balls? [03/25/2002]

Given 800 blue balls in a bag, you take out 35 of them, paint them red, and replace them. Do this 23 times and you *might* paint all of them - what are the odds?

What's the Probability That Two Will Agree? [11/10/1997]

Of the nine members of the board of trustees of a college, five agree with the president. The president selects three trustees at random and asks their opinions...

Yahtzee Probabilities and a State Matrix [12/30/1998]

In Yahtzee, what are the odds of rolling 5 of a kind within 3 rolls of the dice? What if you reroll all 5 dice each time? Does this involve transition matrices?

Yahtzee Probability [07/20/2009]

What are the odds of rolling a Yahtzee on three consecutive turns where each turn allows up to three rolls?

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