01. (b) In an Urn are 5 blue, 3 red and 2 yellow marbles. If you draw 3 marbles, what is the probability that less than 2 will be red if (a). You draw with replacement (b). You draw without replacement
01. (b) In an Urn are 5 blue, 3 red and 2 yellow marbles. If you draw 3 marbles, what is the probability that less than 2 will be red if (a). You draw with replacement (b). You draw without replacement
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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Stistic exercises
![**Q1. (b)**
In an urn are 5 blue, 3 red, and 2 yellow marbles. If you draw 3 marbles, what is the probability that less than 2 will be red if
(a). You draw with replacement
(b). You draw without replacement](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4d0d6ec-200a-4011-b78b-ee05efc9bc39%2F4f2b0a53-ea74-499b-a1e6-5a8bf5893919%2Fnsbb5d_processed.png&w=3840&q=75)
Transcribed Image Text:**Q1. (b)**
In an urn are 5 blue, 3 red, and 2 yellow marbles. If you draw 3 marbles, what is the probability that less than 2 will be red if
(a). You draw with replacement
(b). You draw without replacement
![## Question 2 (a)
Determine whether or not the table is a valid probability distribution of a discrete random variable. Explain fully.
### (i).
| x | 0 | 1 | 2 | 3 | 4 |
|-----|-------|------|------|------|------|
| P(x)| -0.25 | 0.50 | 0.35 | 0.10 | 0.30 |
**Solution**
### (ii).
| x | 1 | 2 | 3 |
|-----|-------|-------|-------|
| P(x)| 0.325 | 0.406 | 0.164 |
**Solution**
### (iii).
| x | 25 | 26 | 27 | 28 | 29 |
|-----|------|------|------|------|------|
| P(x)| 0.13 | 0.27 | 0.28 | 0.18 | 0.14 |
**Solution**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4d0d6ec-200a-4011-b78b-ee05efc9bc39%2F4f2b0a53-ea74-499b-a1e6-5a8bf5893919%2Fcnqu1ba_processed.png&w=3840&q=75)
Transcribed Image Text:## Question 2 (a)
Determine whether or not the table is a valid probability distribution of a discrete random variable. Explain fully.
### (i).
| x | 0 | 1 | 2 | 3 | 4 |
|-----|-------|------|------|------|------|
| P(x)| -0.25 | 0.50 | 0.35 | 0.10 | 0.30 |
**Solution**
### (ii).
| x | 1 | 2 | 3 |
|-----|-------|-------|-------|
| P(x)| 0.325 | 0.406 | 0.164 |
**Solution**
### (iii).
| x | 25 | 26 | 27 | 28 | 29 |
|-----|------|------|------|------|------|
| P(x)| 0.13 | 0.27 | 0.28 | 0.18 | 0.14 |
**Solution**
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