which of the following statements is equivalent to $p(zgeq1.7)$?\n$p(zgeq - 1.7)$\n$1 - p(zgeq…

Explanation:

Step1: Recall the property of standard - normal distribution

The total area under the standard - normal curve is 1, i.e., $P(Z\lt z)+P(Z\geq z) = 1$, so $P(Z\geq z)=1 - P(Z\lt z)$. Also, the standard - normal distribution is symmetric about $z = 0$, so $P(Z\lt -z)=P(Z\gt z)$.

Step2: Analyze $P(Z\geq1.7)$

We know that $P(Z\geq1.7)=1 - P(Z\lt1.7)$. And since the total area under the curve is 1, we can also use the symmetry property. The area to the right of $z = 1.7$ is the same as the area to the left of $z=- 1.7$ in terms of the complementary relationship. That is, $P(Z\geq1.7)=1 - P(Z\lt1.7)=1 - P(Z\geq - 1.7)$.

Answer:

$1 - P(z\geq - 1.7)$