ผลต่างระหว่างรุ่นของ "Probstat/week8 practice 2"

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10. The average height that Somchai the athlete can jump is '''2 m''' with variance '''0.16'''.  Today to win, Somchai has to jump higher than '''2.4 m'''.  What is the approximate probability that Somchai will win?
 
10. The average height that Somchai the athlete can jump is '''2 m''' with variance '''0.16'''.  Today to win, Somchai has to jump higher than '''2.4 m'''.  What is the approximate probability that Somchai will win?
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== Challenging problems ==

รุ่นแก้ไขเมื่อ 02:58, 9 ตุลาคม 2557

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.

9. The download speed of a file to your computer is normally distributed with parameters Mbps and . What is the probability that you get the download speed faster than 6 Mbps? What is the probability that your speed is below 4 Mbps?

10. The average height that Somchai the athlete can jump is 2 m with variance 0.16. Today to win, Somchai has to jump higher than 2.4 m. What is the approximate probability that Somchai will win?

Challenging problems