Respuesta :
Which is equivalent to [tex]P(z\geq 1.06)[/tex]
Solution: The equivalent expression for [tex]P(z\geq 1.06)[/tex] is [tex]1-P(z\leq 1.06)[/tex]
Explanation:
The complement rule of probability states that the sum of the probabilities of an event and it's complement mus equal to 1.
Let [tex]A[/tex] be an event and [tex]A^{'}[/tex] be its complement. Then using the complementary rule, we have:
[tex]P(A)+P(A^{'})=1 \implies P(A^{'})= 1-P(A)[/tex]
Using the same complementary rule in the given example:
We have:
[tex]P(z\geq 1.06) + P(z<1.06) = 1[/tex]
[tex]P(z\geq 1.06)=1-P(z<1.06)[/tex]
Therefore, the equivalent expression for [tex]P(z\geq 1.06)[/tex] is [tex]1-P(z< 1.06)[/tex]
