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2027_Probabilités et statistiques

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Which of these functions are densities?

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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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Pour une variable aléatoire continue, la probabilité que prenne une valeur exacte (par exemple ) est :  

For a continuous random variable, the probability that takes an exact value (e.g., ) is:  

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Si suit une loi normale de moyenne 0 et de variance 1, laquelle de ces affirmations est correcte ?

If follows a normal distribution with mean 0 and variance 1, which of these statements is correct?

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 Quelle propriété caractérise une fonction de répartition d'une variable aléatoire continue ?  

What property characterizes a cumulative distribution function F(x)F(x) of a continuous random variable?

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Un centre logistique reçoit en moyenne 5 commandes par heure. En supposant que le nombre de commandes suit une loi de Poisson, quelle est la probabilité qu'il reçoive exactement 7 commandes en une heure ?

A logistics center receives an average of 5 orders per hour. Assuming the number of orders follows a Poisson distribution, what is the probability that it receives exactly 7 orders in one hour?

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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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