Questions: Find the indicated probability using the standard normal distribution. P(z<1.52) Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. P(z<1.52)= (Round to four decimal places as needed.)

Solution Steps

To find the probability \( P(z < 1.52) \) using the standard normal distribution, we can express it in terms of the cumulative distribution function \( \Phi \): \[ P(z < 1.52) = \Phi(1.52) - \Phi(-\infty) \]

Since \( \Phi(-\infty) = 0 \), the expression simplifies to: \[ P(z < 1.52) = \Phi(1.52) \]

From the calculations, we find that: \[ \Phi(1.52) \approx 0.9357 \]

Final Answer