Final Answer:
The probability P(-1.22 < Z < -1.56) on the standard normal curve is approximately 0.0557.
Step-by-step explanation:
To determine the probability P(-1.22 < Z < -1.56) on the standard normal curve, the first step is to understand that Z represents the standard normal random variable. The inequality P(-1.22 < Z < -1.56) denotes the probability that Z falls between the values -1.22 and -1.56 standard deviations from the mean on the standard normal distribution curve. By using a standard normal distribution table or statistical software, the area under the curve between these two values is calculated to be approximately 0.0557.
This probability represents the shaded area under the standard normal curve between -1.22 and -1.56 standard deviations. Visualizing this on the normal curve, shading the region between these values, showcases the probability of observing a standard normal random variable within this specific range. It demonstrates the likelihood of Z falling between -1.22 and -1.56 standard deviations from the mean on the standard normal distribution curve, helping in understanding the probabilities associated with different intervals on the curve.