Answer:
Value of P(N) is, 0.3
Step-by-step explanation:
As per the given statement:
Events M and N are independent events.
By definition of independency ;
[tex]P(M \text{and} N) = P(M) \times P(N)[/tex]
Also,in this scenario, if P(M) = 0.46 and P(M and N) = 0.138
Substitute the given values in [1] to solve for P(N);
[tex]0.138=0.46 \times P(N)[/tex]\
Divide both sides by 0.46 we get;
[tex]\frac{0.138}{0.46} = \frac{0.46 \times P(N)}{0.46}[/tex]
Simplify:
[tex]P(N) = 0.3[/tex]
Therefore, the value of P(N) = 0.3
