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
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...
Related questions
Question
100%
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
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON