Answer:
Value of [tex]P(Q \cap R)[/tex] is, 0.0081
Step-by-step explanation:
For an independent events A and B is given by:
[tex]P(A \cap B) =P(A) \cdot P(B)[/tex]
As per the statement:
Suppose Q and R are independent events.
P(Q) = 0.27 and P(R) = 0.03.
We have to find [tex]P(Q \cap R)[/tex]
By definition we have;
[tex]P(Q \cap R) =P(Q) \cdot P(R)[/tex]
Substitute the given values we have;
[tex]P(Q \cap R) =0.27 \cdot 0.03[/tex]
⇒[tex]P(Q \cap R)=0.0081[/tex]
therefore, the value of [tex]P(Q \cap R)[/tex] is, 0.0081