Question

*Make sure to draw a normal distribution curve to indicate the position and range of Z.

1. Let X~N(10,9). Find P(X<8), P(X ≥ 12), P(2 ≤ X ≤ 10)

2. In each part below, find the value of c that makes the probability statement true;

1)  ∳(C) = 0.9463

2) P(IZI ≤ C) = 0.95

3) P(IZI ≤ C) = 0.99

4) P(IZI ≤ C) = 0.05

3. If X~N(80,10²), compute;

1) P(X < 100)

2) P(75 < X  < 100)

3) P(75 ≤ X)

4) P(IX-80I ≤19.6)

Answer 1