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

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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
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**
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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