Answered

Bonjour j'ai un dm de maths écris en anglais que je dois rendre (en français) , si vous pouvez m'aider à répondre aux questions svp :

A clock stops at random. The random variable X is the position of the hour hand after it has stopped, expressed as a real number.

a) give the probability density of the variable X, and sketch its graph.

b) compute the probability that the hand is between 3 o'clock and 7 o'clock.

c) the hand has stopped between 12 o'clock and 6 o'clock. Compute the probability that it has stopped between 2 o'clock and 4 o'clock.

Sagot :

X est une variable continue de densité constante 1/12

 

p(3<=X<=7)=[x/12]entre 3 et 7= (7-3)/12=1/3

 

p(2<=X<=4)/p(0<=X<=6)=(2/12)/(6/12)=1/3