Kingdom of Saudi Arabia, Ministry of Higher Education SALMAN BIN ABDULAZIZ UNIVERSITY Statistics-3201; Home Work-2 1. Let the continuous random variable X denote the current measured in a thin copper wire in mA. The PDF is F(x) = 0.05 for 0 ≤ x ≤ 20.What is the probability that the current measurement is between 5 & 10 mA? 2. If I toss a coin 20 times, what’s the probability of getting exactly 10 heads? 3. The number of visitors to a web server per minute follows a Poisson distribution. If the average number of visitors per minute is 4, what is the probability that: (i) There are two or less visitors in one minute? (ii) There are exactly two visitors in 30 seconds? 4. The average number of emergency calls that a hospital gets on any day is 4. What is the probability that the hospital gets 6 calls on a particular day? 5. A fire chief collects data on the number of fires attended per week, each week for a year. No. of 0 1 2 3 4 5 6 fires No. of 4 10 13 9 7 4 2 weeks Compute the theoretical frequency Date of submission:16 April-2014 Name:……………………………………………………….. Stud.ID…………………… 7 8 9 10 1 1 0 1
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