Question

Calculate the probability. Please keep 4 decimal places. What is the value of p(-1.29 < z < 2.78)?

Answer 1

The value of p(-1.29 < z < 2.78) is approximately 0.8989.

Step-by-step explanation:

The value of p(-1.29 < z < 2.78) can be calculated using the area under the normal curve. To find this probability, we need to find the area to the left of z = 2.78 and subtract the area to the left of z = -1.29.

1. Using a z-table or calculator, we find that the area to the left of z = 2.78 is approximately 0.9974.
2. Similarly, the area to the left of z = -1.29 is approximately 0.0985.
3. Subtracting the area to the left of z = -1.29 from the area to the left of z = 2.78 gives us the desired probability:

p(-1.29 < z < 2.78) = 0.9974 - 0.0985 = 0.8989