The accompanying data were obtained in a study conducted by the manager of one supermarket. In this study the number of customers waiting in line at the express checkout at the beginning of each 3-min interval between 9 A_ and 12 noon on Saturday was observed. Customers Frequency of Occurrence O x P(X - x) x 10 3 P(X - x) 1 1 2 3 2 8 4 5 12 7 Find the probability distribution of the random variable X, where X denotes the number of customers observed waiting in line. Draw the histogram representing the probability distribution. 16 0 1 2 3 4 0.05 0.017 0.033 0.153 0.2 9 10 5 6 7 8 0.107 0.15 0.117 0.083 0.05 0.05 7 7 8 19 5 3 10 3

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
100%
**Question 5**

The accompanying data were obtained in a study conducted by the manager of one supermarket. In this study, the number of customers waiting in line at the express checkout at the beginning of each 3-minute interval between 9 A.M. and 12 noon on Saturday was observed.

| Customers | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|-----------|---|---|---|---|---|---|---|---|---|----|
| Frequency of Occurrence | 3 | 1 | 2 | 8 | 12 | 7 | 9 | 7 | 5 | 3 |

Find the probability distribution of the random variable \( X \), where \( X \) denotes the number of customers observed waiting in line. Draw the histogram representing the probability distribution.

**Explanation of Diagrams:**

The table provided lists the number of customers and the corresponding frequency of occurrences. The histogram to be drawn will represent this probability distribution, where the x-axis shows the number of customers and the y-axis shows the probability of each occurrence, calculated by dividing the frequency of each customer count by the total number of observations.
Transcribed Image Text:**Question 5** The accompanying data were obtained in a study conducted by the manager of one supermarket. In this study, the number of customers waiting in line at the express checkout at the beginning of each 3-minute interval between 9 A.M. and 12 noon on Saturday was observed. | Customers | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |-----------|---|---|---|---|---|---|---|---|---|----| | Frequency of Occurrence | 3 | 1 | 2 | 8 | 12 | 7 | 9 | 7 | 5 | 3 | Find the probability distribution of the random variable \( X \), where \( X \) denotes the number of customers observed waiting in line. Draw the histogram representing the probability distribution. **Explanation of Diagrams:** The table provided lists the number of customers and the corresponding frequency of occurrences. The histogram to be drawn will represent this probability distribution, where the x-axis shows the number of customers and the y-axis shows the probability of each occurrence, calculated by dividing the frequency of each customer count by the total number of observations.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON