Z is a standard normal random variable. The P(1.20 < z < 1.85) equalsGroup of answer choices0.38490.08290.85270.4678

To find the probability P(1.20 < z < 1.85) for a standard normal distribution, you need to find the area under the curve between these two z-scores. This is done by finding the cumulative probability for each z-score and then subtracting the smaller from the larger.

1. Find the cumulative probability for z = 1.20. This is the probability that z is less than or equal to 1.20. You can find this value in a standard normal distribution table or use a calculator with a normal distribution function. The value is approximately 0.8849.

2. Find the cumulative probability for z = 1.85. This is the probability that z is less than or equal to 1.85. Again, you can find this value in a standard normal distribution table or use a calculator with a normal distribution function. The value is approximately 0.9678.

3. Subtract the cumulative probability for z = 1.20 from the cumulative probability for z = 1.85 to find the probability that z is between these two values.

   P(1.20 < z < 1.85) = P(z < 1.85) - P(z < 1.20) = 0.9678 - 0.8849 = 0.0829

So, the probability P(1.20 < z < 1.85) is approximately 0.0829.