ผลต่างระหว่างรุ่นของ "Probstat/week8 practice 2"
Jittat (คุย | มีส่วนร่วม) |
Jittat (คุย | มีส่วนร่วม) |
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| แถว 24: | แถว 24: | ||
9. The download speed of a file to your computer is normally distributed with parameters <math>\mu=5</math> Mbps and <math>\sigma^2 = 0.5</math>. 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? | 9. The download speed of a file to your computer is normally distributed with parameters <math>\mu=5</math> Mbps and <math>\sigma^2 = 0.5</math>. 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? | ||
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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? | ||
รุ่นแก้ไขเมื่อ 02:55, 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?
