Suppose $Z$ follows the standard normal distribution. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) $P(Z>1.55)=$ (b) $P(Z \leq 1.48)=$ (c) $P(-0.46<\mathrm{Z}<1.71)=$

Step 1 ：First, we need to understand that the standard normal distribution has a mean of 0 and a standard deviation of 1. The Z-score represents the number of standard deviations a value is from the mean.

Step 2 ：We are asked to find the probability that Z is greater than 1.55. This means we are looking for the area under the curve to the right of Z=1.55. Using the ALEKS calculator, we find that \(P(Z>1.55) = 0.060\).

Step 3 ：Next, we are asked to find the probability that Z is less than or equal to 1.48. This means we are looking for the area under the curve to the left of Z=1.48. Using the ALEKS calculator, we find that \(P(Z \leq 1.48) = 0.930\).

Step 4 ：Finally, we are asked to find the probability that Z is between -0.46 and 1.71. This means we are looking for the area under the curve between Z=-0.46 and Z=1.71. Using the ALEKS calculator, we find that \(P(-0.46

Step 5 ：To check our results, we can compare them to the standard normal distribution table. The values we calculated are consistent with the values in the table.

Step 6 ：Therefore, the final answers are: \(P(Z>1.55) = \boxed{0.060}\), \(P(Z \leq 1.48) = \boxed{0.930}\), and \(P(-0.46