Calculate the probability for the following problems (Please keep 4 decimal places). 1. \( P(z>2.19)=\square \) 2. \( P(z<2.1)=\square \) 3. \( P(-2.35

Ask by Little Fitzgerald. in the United States

Mar 14,2025

To find the probabilities associated with the standard normal distribution (z-scores), we typically refer to the standard normal distribution table or use statistical software. 1. For \( P(z>2.19) \): The corresponding cumulative probability \( P(z<2.19) \) is approximately 0.9857. Therefore, \( P(z>2.19) = 1 - P(z<2.19) = 1 - 0.9857 = 0.0143 \). So, \( P(z>2.19) = 0.0143 \). 2. For \( P(z<2.1) \): Looking up the value, \( P(z<2.1) \) is approximately 0.9821. Thus, \( P(z<2.1) = 0.9821 \). 3. For \( P(-2.352.19) = 0.0143 \) 2. \( P(z<2.1) = 0.9821 \) 3. \( P(-2.35