Final answer:
To find the probability P(z > 1.43) for a standard normal random variable z, calculate the area under the normal curve to the right of 1.43.
Step-by-step explanation:
To find the probability P(z > 1.43) for a standard normal random variable z, we need to calculate the area under the normal curve to the right of 1.43.
1. Convert 1.43 to a z-score using the standard normal distribution table: z = (1.43 - mean) / standard deviation. If the mean is 0 and the standard deviation is 1 (which is the case for a standard normal distribution), z = 1.43.
2. Look up the area to the left of z = 1.43 in the standard normal distribution table, which is 0.9236.
3. Subtract this area from 1 to find the area to the right of z = 1.43: 1 - 0.9236 = 0.0764.
Therefore, the probability P(z > 1.43) is approximately 0.0764 or 7.64%.