To calculate the probability that the standard normal random variable Z falls between -1.06 and 0.04, we need to use the cumulative distribution function (CDF) of the standard normal distribution.
Using a standard normal distribution table or a statistical software, we can find the area under the standard normal curve corresponding to each z-score.
P(-1.06 < Z < 0.04) = P(Z < 0.04) - P(Z < -1.06)
Using the standard normal distribution table, we can find the corresponding probabilities:
P(Z < 0.04) ≈ 0.5159
P(Z < -1.06) ≈ 0.1423
Now, we can calculate the desired probability:
P(-1.06 < Z < 0.04) ≈ 0.5159 - 0.1423 ≈ 0.3736
Therefore, the probability that Z falls between -1.06 and 0.04 is approximately 0.3736 (or 37.36%).