For two events $A\,$ and $B\,$ it is given that $P (A) = 0.4$ and $P (B) = 0.5$ . Nothing further is known about the events.

Find, using set notation, the set of possible values of $\cap B)$ .

State the relationship between $A\,$ and $B\,$ when $\cap B)$ takes its least possible value.

A different pair of events $C\,$ and $D\,$ has $P (C) = 0.7$ and $P (D) = 0.6$ . Find the set of possible values of $\cap D)$ .

For two events $A\,$ and $B\,$ it is given that $P (A) = 0.4$ and $P (B) = 0.5$ . Nothing further is known about the events.

Find, using set notation, the set of possible values of $\cap B)$ .

State the relationship between $A\,$ and $B\,$ when $\cap B)$ takes its least possible value.

A different pair of events $C\,$ and $D\,$ has $P (C) = 0.7$ and $P (D) = 0.6$ . Find the set of possible values of $\cap D)$ .

2 Statistics

2 Statistics Questions