The following data represent the number of games played in each series of an annual tournament from 1923 to 2019. Complete parts (a) through (d) below. x (games played) 4 5 6 7 p Frequency 18 19 19 40 .. (a) Construct a discrete probability distribution for the random variable X. x (games played) P(x) 4 6 7 (Round to four decimal places as needed.) (b) Graph the discrete probability distribution. Choose the correct graph below. O A. O B. Oc. OD. AP(X) 0.5- AP(x) 0.5- AP(x) 0.5- AP(x) 0.5- 5 4 5 6 4 6 4 6. (c) Compute and interpret the mean of the random variable X. Hx = game(s) (Round to one decimal place as needed.) %3D Interpret the mean of the random variable X. Select the correct choice below and fill in the answer box within your choice. (Round to one decimal place as needed.) O A. The series, if played many times, would be expected to last about game(s), on average. O B. The series, if played one time, would be expected to last about game(s). (d) Compute the standard deviation of the random variable X. Ox = game(s)
The following data represent the number of games played in each series of an annual tournament from 1923 to 2019. Complete parts (a) through (d) below. x (games played) 4 5 6 7 p Frequency 18 19 19 40 .. (a) Construct a discrete probability distribution for the random variable X. x (games played) P(x) 4 6 7 (Round to four decimal places as needed.) (b) Graph the discrete probability distribution. Choose the correct graph below. O A. O B. Oc. OD. AP(X) 0.5- AP(x) 0.5- AP(x) 0.5- AP(x) 0.5- 5 4 5 6 4 6 4 6. (c) Compute and interpret the mean of the random variable X. Hx = game(s) (Round to one decimal place as needed.) %3D Interpret the mean of the random variable X. Select the correct choice below and fill in the answer box within your choice. (Round to one decimal place as needed.) O A. The series, if played many times, would be expected to last about game(s), on average. O B. The series, if played one time, would be expected to last about game(s). (d) Compute the standard deviation of the random variable X. Ox = game(s)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Transcription for Educational Website**
The following data represent the number of games played in each series of an annual tournament from 1923 to 2019. Complete parts (a) through (d) below.
**Data:**
- x (games played): 4, 5, 6, 7
- Frequency: 18, 19, 19, 40
**(a) Construct a discrete probability distribution for the random variable X.**
| x (games played) | P(x) |
|------------------|------|
| 4 | |
| 5 | |
| 6 | |
| 7 | |
*(Round to four decimal places as needed.)*
**(b) Graph the discrete probability distribution. Choose the correct graph below.**
- **Graph Options:**
- **A.** Four bars representing probabilities for x values at 4, 5, 6, 7.
- **B.** Four bars representing probabilities for x values at 4, 5, 6, 7.
- **C.** Four bars representing probabilities for x values at 4, 5, 6, 7.
- **D.** Four bars representing probabilities for x values at 4, 5, 6, 7.
*Each graph has P(x) on the y-axis ranging from 0 to 0.5 and x on the x-axis ranging from 4 to 7.*
**(c) Compute and interpret the mean of the random variable X.**
\[\mu_X = \_\_\_\_ \text{ game(s)}\]
*(Round to one decimal place as needed.)*
Interpret the mean of the random variable X. Select the correct choice below and fill in the answer box within your choice.
**Options:**
- **A.** The series, if played many times, would be expected to last about \_\_\_\_ game(s), on average.
- **B.** The series, if played one time, would be expected to last about \_\_\_\_ game(s).
*(Round to one decimal place as needed.)*
**(d) Compute the standard deviation of the random variable X.**
\[\sigma_X = \_\_\_\_ \text{ game(s)}\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff17d270a-17d6-4287-afdd-bcb21823048b%2F47d92dff-c875-42c9-beba-e57da03533a1%2Fur79e7c_processed.png&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
The following data represent the number of games played in each series of an annual tournament from 1923 to 2019. Complete parts (a) through (d) below.
**Data:**
- x (games played): 4, 5, 6, 7
- Frequency: 18, 19, 19, 40
**(a) Construct a discrete probability distribution for the random variable X.**
| x (games played) | P(x) |
|------------------|------|
| 4 | |
| 5 | |
| 6 | |
| 7 | |
*(Round to four decimal places as needed.)*
**(b) Graph the discrete probability distribution. Choose the correct graph below.**
- **Graph Options:**
- **A.** Four bars representing probabilities for x values at 4, 5, 6, 7.
- **B.** Four bars representing probabilities for x values at 4, 5, 6, 7.
- **C.** Four bars representing probabilities for x values at 4, 5, 6, 7.
- **D.** Four bars representing probabilities for x values at 4, 5, 6, 7.
*Each graph has P(x) on the y-axis ranging from 0 to 0.5 and x on the x-axis ranging from 4 to 7.*
**(c) Compute and interpret the mean of the random variable X.**
\[\mu_X = \_\_\_\_ \text{ game(s)}\]
*(Round to one decimal place as needed.)*
Interpret the mean of the random variable X. Select the correct choice below and fill in the answer box within your choice.
**Options:**
- **A.** The series, if played many times, would be expected to last about \_\_\_\_ game(s), on average.
- **B.** The series, if played one time, would be expected to last about \_\_\_\_ game(s).
*(Round to one decimal place as needed.)*
**(d) Compute the standard deviation of the random variable X.**
\[\sigma_X = \_\_\_\_ \text{ game(s)}\]
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