An empirical probability distribution based on weekly study times for a sample of 40 students is provided to the right. Suppose one of those students was chosen randomly. In parts (a) through (d) below, using your distribution, find the probability that the study time in the past week for the student selected would have been in each of the following ranges. Class Frequency Relative Limits f Frequency 10-19 11 0.275 (a) 30-39 hours 20-29 0.150 (Type an integer or a decimal.) 30-39 0.050 40-49 14 0.350 (b) 40-59 hours 50-59 0.050 60-69 0.025 (Type an integer or a decimal.) 70-79 4. 0.100 (c) fewer than 30 hours Total: n= 40 (Type an integer or a decimal.) (d) at least 50 hours (Type an integer or a decimal.) E o N St

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An empirical probability distribution based on weekly study times for a sample of 40 students is provided. Suppose one of those students was chosen randomly. In parts (a) through (d) below, using your distribution, find the probability that the study time in the past week for the student selected would have been in each of the following ranges.

(a) 30-39 hours  
[Type an integer or a decimal.]

(b) 40-59 hours  
[Type an integer or a decimal.]

(c) fewer than 30 hours  
[Type an integer or a decimal.]

(d) at least 50 hours  
[Type an integer or a decimal.]

**Distribution Table:**

| Class Limits | Frequency (f) | Relative Frequency |
|--------------|---------------|-------------------|
| 10-19        | 11            | 0.275             |
| 20-29        | 6             | 0.150             |
| 30-39        | 2             | 0.050             |
| 40-49        | 14            | 0.350             |
| 50-59        | 2             | 0.050             |
| 60-69        | 1             | 0.025             |
| 70-79        | 4             | 0.100             |
| **Total:**   | **n = 40**    |                   |

Use the relative frequencies in the table to determine the probabilities for each range specified above.
Transcribed Image Text:An empirical probability distribution based on weekly study times for a sample of 40 students is provided. Suppose one of those students was chosen randomly. In parts (a) through (d) below, using your distribution, find the probability that the study time in the past week for the student selected would have been in each of the following ranges. (a) 30-39 hours [Type an integer or a decimal.] (b) 40-59 hours [Type an integer or a decimal.] (c) fewer than 30 hours [Type an integer or a decimal.] (d) at least 50 hours [Type an integer or a decimal.] **Distribution Table:** | Class Limits | Frequency (f) | Relative Frequency | |--------------|---------------|-------------------| | 10-19 | 11 | 0.275 | | 20-29 | 6 | 0.150 | | 30-39 | 2 | 0.050 | | 40-49 | 14 | 0.350 | | 50-59 | 2 | 0.050 | | 60-69 | 1 | 0.025 | | 70-79 | 4 | 0.100 | | **Total:** | **n = 40** | | Use the relative frequencies in the table to determine the probabilities for each range specified above.
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