Soit XXX une variable aléatoire suivant une loi uniforme U(−2,4).U(-2,4).U(−2,4).
Calculer P(X≤3)P(X \leq 3)P(X≤3).
P(X≤3)=13P(X \leq 3) = \frac 1 3P(X≤3)=31
P(X≤3)=56P(X \leq 3) = \frac 5 6P(X≤3)=65
P(X≤3)=34P(X \leq 3) = \frac 3 4 P(X≤3)=43
Calculer P(X>3)P(X > 3)P(X>3)
P(X>3)=23P(X>3) = \frac 2 3 P(X>3)=32
P(X>3)=12P(X>3) = \frac 1 2 P(X>3)=21
P(X>3)=16P(X>3) = \frac 1 6 P(X>3)=61
Calculer E[X]\mathbb E[X]E[X]
E[X]=1\mathbb E[X] = 1E[X]=1
E[X]=3\mathbb E[X] = 3E[X]=3
E[X]=0\mathbb E[X] = 0E[X]=0