Assignment. Read the instruction carefully. (Statistics and Probability 11) A. Classify the following random variables as discrete or continuous. 1. Number of students in the canteen during lunch break. 2. Amount of water in liters that a person consumes in a day. 3. Amount of money spent on buying medicines. 4. Weight of a baby 5. Number of passengers in a bus 6. Number of patients in a hospital 7. Speed of a car 8. Number of shooting stars in one night 9. Number of revolutions per minute of a wheel 10. Profit of a businessman 11. Number of action figures of a kid 12. Amount of gasoline in liters in a gasoline station 13. Number of times a person urinates in a day 14. Amount of rainfall recorded in a month 15. Time spent by an athlete to finish a race 16. Number of times an even number appears in rolling a die n times 17. Distance traveled by train 18. Temperature of a city 19. Population of a country 20. Rate of population growth of a country B. Write YES if the distribution given is a valid probability distribution for discrete random variable X; otherwise, write NO. 1. X 0 1 2 3 P (X) 0.25 0.4 0.1 0.25 2. X 3 4 5 7 P (x) 0.21 0.36 0.11 0.07 3. X 6 8 10 12 P(x) 0.36 0.37 0.4 - 0.13 4. X 2 3 4 5 P(x) 0.05 0.23 0.1 0.25 5. X 0 1 2 3 P (x) 0.25 0.42 0.24 0.9
Assignment. Read the instruction carefully. (Statistics and
A. Classify the following random variables as discrete or continuous.
1. Number of students in the canteen during lunch break.
2. Amount of water in liters that a person consumes in a day.
3. Amount of money spent on buying medicines.
4. Weight of a baby
5. Number of passengers in a bus
6. Number of patients in a hospital
7. Speed of a car
8. Number of shooting stars in one night
9. Number of revolutions per minute of a wheel
10. Profit of a businessman
11. Number of action figures of a kid
12. Amount of gasoline in liters in a gasoline station
13. Number of times a person urinates in a day
14. Amount of rainfall recorded in a month
15. Time spent by an athlete to finish a race
16. Number of times an even number appears in rolling a die n times
17. Distance traveled by train
18. Temperature of a city
19. Population of a country
20. Rate of population growth of a country
B. Write YES if the distribution given is a valid probability distribution for discrete
random variable X; otherwise, write NO.
1.
| X | 0 | 1 | 2 | 3 |
| P (X) | 0.25 | 0.4 | 0.1 | 0.25 |
2.
| X | 3 | 4 | 5 | 7 |
| P (x) | 0.21 | 0.36 | 0.11 | 0.07 |
3.
| X | 6 | 8 | 10 | 12 |
| P(x) | 0.36 | 0.37 | 0.4 | - 0.13 |
4.
| X | 2 | 3 | 4 | 5 |
| P(x) | 0.05 | 0.23 | 0.1 | 0.25 |
5.
| X | 0 | 1 | 2 | 3 |
| P (x) | 0.25 | 0.42 | 0.24 | 0.9 |
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