Let X represent the number of voters polled who prefer Candidate A. Use some form of appropriate technology (e.g., your calculator or statistics software like Excel, R, or StatDisk) to find the cumulative probability distribution.

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### Problem Statement for Educational Website

#### Polling Preference Analysis

Assume that the proportion of voters who prefer Candidate A is \( p = 0.367 \). Organization D conducts a poll of \( n = 5 \) voters.

Let \( X \) represent the number of voters polled who prefer Candidate A. Use some form of appropriate technology (e.g., your calculator or statistics software like Excel, R, or StatDisk) to find the *cumulative probability distribution*.

**Instructions:**
- Report answers accurate to 4 decimal places.

#### Table for Cumulative Probability Distribution
Fill in the answers to complete the table for the cumulative probability distribution:

| \( k \) | \( P(X \leq k) \) |
|--------|-------------------|
| 0      |                   |
| 1      |                   |
| 2      |                   |
| 3      |                   |
| 4      |                   |
| 5      |                   |

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Transcribed Image Text:### Problem Statement for Educational Website #### Polling Preference Analysis Assume that the proportion of voters who prefer Candidate A is \( p = 0.367 \). Organization D conducts a poll of \( n = 5 \) voters. Let \( X \) represent the number of voters polled who prefer Candidate A. Use some form of appropriate technology (e.g., your calculator or statistics software like Excel, R, or StatDisk) to find the *cumulative probability distribution*. **Instructions:** - Report answers accurate to 4 decimal places. #### Table for Cumulative Probability Distribution Fill in the answers to complete the table for the cumulative probability distribution: | \( k \) | \( P(X \leq k) \) | |--------|-------------------| | 0 | | | 1 | | | 2 | | | 3 | | | 4 | | | 5 | | Click on the "Submit Question" button to submit your answers. <button>Submit Question</button>
### Study on Graduation Rates of Medical Students

A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 90.3% for the medical students admitted through special programs. Be sure to enter at least 4 digits of accuracy for this problem!

#### Problem 1 
If 9 of the students from the special programs are randomly selected, find the probability that at least 8 of them graduated.

- **prob =** [_________] (At least 4 digits)

#### Problem 2
If 9 of the students from the special programs are randomly selected, find the probability that exactly 6 of them graduated.

- **prob =** [_________] (At least 4 digits)

#### Discussion
Would it be unusual to randomly select 9 students from the special programs and get exactly 6 that graduate?

- [ ] no, it is not unusual
- [ ] yes, it is unusual

#### Problem 3
If 9 of the students from the special programs are randomly selected, find the probability that at most 6 of them graduated.

- **prob =** [_________] (At least 4 digits)
Transcribed Image Text:### Study on Graduation Rates of Medical Students A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 90.3% for the medical students admitted through special programs. Be sure to enter at least 4 digits of accuracy for this problem! #### Problem 1 If 9 of the students from the special programs are randomly selected, find the probability that at least 8 of them graduated. - **prob =** [_________] (At least 4 digits) #### Problem 2 If 9 of the students from the special programs are randomly selected, find the probability that exactly 6 of them graduated. - **prob =** [_________] (At least 4 digits) #### Discussion Would it be unusual to randomly select 9 students from the special programs and get exactly 6 that graduate? - [ ] no, it is not unusual - [ ] yes, it is unusual #### Problem 3 If 9 of the students from the special programs are randomly selected, find the probability that at most 6 of them graduated. - **prob =** [_________] (At least 4 digits)
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