Question

Which is equivalent to P(z ≥ 1.06)?

P(z =< 1.06)

P(z >= –1.06)

1 – P(z =< 1.06)

Answer 1

second part is 14%

Step-by-step explanation:

Answer 2

Which is equivalent to
`P(z\geq 1.06)`

Solution: The equivalent expression for
`P(z\geq 1.06)` is
`1-P(z\leq 1.06)`

Step-by-step 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
`A` be an event and
`A^(')` be its complement. Then using the complementary rule, we have:

`P(A)+P(A^('))=1 \implies P(A^('))= 1-P(A)`

Using the same complementary rule in the given example:

We have:

`P(z\geq 1.06) + P(z<1.06) = 1`

`P(z\geq 1.06)=1-P(z<1.06)`

Therefore, the equivalent expression for
`P(z\geq 1.06)` is
`1-P(z< 1.06)`