Calculate P(0<Z<1.375)P(0<Z<1.375).

To calculate P(0<Z<1.375), we need to use the standard normal distribution table or a calculator that can compute the cumulative probability for the standard normal distribution.

Step 1: Find the cumulative probability for Z = 0. This represents the area under the standard normal curve to the left of Z = 0. From the standard normal distribution table, we find that P(Z < 0) = 0.5000.

Step 2: Find the cumulative probability for Z = 1.375. This represents the area under the standard normal curve to the left of Z = 1.375. Using the standard normal distribution table or a calculator, we find that P(Z < 1.375) = 0.9154.

Step 3: Calculate the probability of the interval 0 < Z < 1.375. This represents the area under the standard normal curve between Z = 0 and Z = 1.375. To find this probability, we subtract the cumulative probability for Z = 0 from the cumulative probability for Z = 1.375. Therefore, P(0 < Z < 1.375) = P(Z < 1.375) - P(Z < 0) = 0.9154 - 0.5000 = 0.4154.

Step 4: Calculate P(0 < Z < 1.375)P(0 < Z < 1.375) by multiplying the probability obtained in step 3 by itself. Therefore, P(0 < Z < 1.375)P(0 < Z < 1.375) = 0.4154 * 0.4154 = 0.1722.

Therefore, P(0 < Z < 1.375)P(0 < Z < 1.375) is approximately 0.1722.