Probstat/week8 practice 2

This is part of probstat.

To compute the cdf of standard normal random variable, you can use a table from wikipedia.

Basic practice

Let Z be a standard normal random variable (whose mean is 0 and variance is 1).

1. Find P{ Z >= 0 }.

2. Find P{ Z >= 0.5 }.

3. Find P{ Z >= 1 }.

4. Find P{ Z >= -0.3 }.

5. Find P{ -1 <= Z <= 0.1 }.

6. Find P{ Z <= 0.2 }

7. Approximate the minimum value a such that P{ Z >= a } <= 0.1.

8. Approximate the minimum value a such that P{ -a <= Z <= a } >= 0.7.