Q. 25.0( 1 Vote )

A random variable A. 0.50

B. 0.77

C. 0.35

D. 0.87

Answer :

E=(X:X is a prime number)=(2,3,5,7)

P(E)=P(X=2)+(X=3)+(X=5)+(X=7)

P(E)=0.23+0.12+0.20+0.07=0.62

F=(X:X<4)=(1,2,3)

P(F)=P(X=1)+(X=2)+(X=3)

P(F)=0.15+0.23+0.12=0.5

E∩F=(X is a prime number as well as <4)=(2,3)

P(E∩F)=P(X=2)+P(X=3)

⇒ 0.23+0.12=0.35

P(E∪F)=P(E)+P(F)-P(E∩F)

⇒ 0.62+0.50-0.35

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A random variable A. 0.50B. 0.77C. 0.35D. 0.87