Answer in Statistics and Probability for jaya #126779

Solution:

I. P(A)=P(X “ge” 1)=1- P(X=0)=1-0.14=0.86

II. P(B)=P(X<10)=1-P(X“ge” 10)=1-P(X>12)-P(10“le”X“le”12)=1-0.03-0.06=0.91

III. P(“overline{A}” )=P(X<1)=P(X=0)=0.14

IV. P(A“bigcap”B)=P(1“le” X<10)=P(1“le” X“le” 3)+ P(4“le”X“le”6)+P(7“le”X “le” 9)=

=0.39+0.23+0.15=0.77

V. The intersection of events A and B сontains elementary events X=1, X=2,…, X=9 and therefore, is not empty.

So, events A and B are not mutually exclusive.