Question: 1. Following is the probability distribution of a random variable that represents the number of extracurricular activities a college freshman participates in. x 0 1
1. Following is the probability distribution of a random variable that represents the number of extracurricular activities a college freshman participates in.
| x | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| Px | 0.05 | 0.13 | 0.45 | 0.21 | 0.16 |
| The probability that a student participates in less than three activities is |
2. Put some air in your tires: Let X represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of X is as follows.
| x | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| Px | 0.1 | 0.3 | 0.2 | 0.2 | 0.2 |
Find P (Greater than or equal to 2)
3. School days: The following table presents the numbers of students enrolled in grades 1 through 8 in public schools in a certain country.
| Grade | Frequency (in 1000s) |
| 1 | 3755 |
| 2 | 3634 |
| 3 | 3623 |
| 4 | 3589 |
| 5 | 3603 |
| 6 | 3663 |
| 7 | 3713 |
| 8 | 3762 |
| Total | 29,342 |
| The probability that the student is in sixth grade is. (Round the answer to three decimal places.) |
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