Final answer:
To find the value of the standard normal random variable Z, we can use the invNorm function on a calculator or a standard normal probability table.
Step-by-step explanation:
To find the value of the standard normal random variable Z, we can use the invNorm function on a calculator or a standard normal probability table.
- For the first question, to find a value of Z0 such that P(Z < Z0) = 0.2946, we can use the calculator command invNorm(0.2946, 0, 1) to find Z0 = -0.55.
- For the second question, to find a value of Z0 such that P(Z > Z0) = 0.6480, we can use the calculator command invNorm(0.6480, 0, 1) to find Z0 = 0.39.
- For the third question, to find a value of Z0 such that P(-Z0 ≤ Z ≤ Z0) = 0.8740, we can find the area to the left of Z0 using the calculator command invNorm((1-0.8740)/2, 0, 1) to find Z0 = 1.28.