Question number 7.

Let $Z$ be a standard normal variable. Find the value of $z$ if $z$ satisfies $P(Z> Z)=0.0048$.
2.50
$-2.50$
2.59
$-2.58$
3.00
None of the above.

Step 1 ：Let $Z$ be a standard normal variable. We are asked to find the value of $z$ if $z$ satisfies $P(Z>Z)=0.0048$.

Step 2 ：We can use the inverse of the cumulative distribution function (also known as the quantile function or the percent-point function) to find the $z$-score that corresponds to the given probability.

Step 3 ：The Python code has returned a $z$-score of approximately 2.59. This means that the value of $z$ that satisfies $P(Z>Z)=0.0048$ in a standard normal distribution is approximately 2.59.

Step 4 ：Looking at the options provided in the question, the closest value to this result is 2.59.

Step 5 ：Therefore, the correct answer is 2.59.

Step 6 ：Final Answer: \(\boxed{2.59}\).