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Quelle est la propriété sans mémoire d'une loi exponentielle ?

What is the memoryless property of an exponential distribution?

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Quelle expression représente la probabilité que prenne une valeur comprise entre et pour une variable aléatoire continue ?  

 Which expression represents the probability that takes a value between and for a continuous random variable?  

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Si une variable aléatoire suit une loi de Bernoulli de paramètre , quelle est la probabilité que prenne la valeur 1 ?  

If a random variable follows a Bernoulli distribution with parameter , what is the probability that takes the value 1?  

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 La fonction de masse de probabilité doit respecter :  

The probability mass function must satisfy:  

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La fonction de densité de probabilité d’une variable aléatoire continue doit vérifier :

The probability density function of a continuous random variable must satisfy:  

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Laquelle de ces affirmations définit correctement une variable aléatoire discrète ?  

Which of these statements correctly defines a discrete random variable?   

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Let X = A or B, where A and B are Boolean variables.

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Let A = false and B = false.

Let X = A or (not B).

Let Y = not(A and B).

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True or False?

You are told that a prize is behind one of 3 doors and you are asked to pick a door. After you make your selection, one of the doors you did not pick is opened and you are shown that the prize is not behind that door. At this point, your odds of picking the winning door are better if you switch your pick to the other door that is still closed.

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Consider the following conditional (if-then) statement:

If it is raining then there are clouds in the sky.

Suppose I tell you that this is a true statement.

Based on your knowledge of the conditional operator, if it is cloudy, is it raining?

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