For the following questions, the data table is provided below. Be sure to show your work.
If I have a mean of 11.4, a standard deviation of 0.59, what are the probabilities that:
1. The continuous random variable is greater than 11.45?
2. The continuous random variable is smaller than 11.45?
3. The continuous random variable is between 11.1 and 12.1?
# | Continuous Random Variable |
---|---|
1 | 11.6 |
2 | 12.1 |
3 | 10.9 |
4 | 11.4 |
5 | 10.6 |
6 | 11.2 |
7 | 11.1 |
8 | 12.2 |
9 | 12.4 |
10 | 10.9 |
11 | 11.5 |
12 | 11.3 |
13 | 10.8 |
14 | 10.6 |
15 | 11.7 |
16 | 12.1 |
17 | 12.3 |
18 | 10.8 |
19 | 11.6 |
20 | 11.2 |
21 | 11.8 |
22 | 10.9 |
23 | 10.5 |
24 | 11.5 |
25 | 12.1 |
26 | 11.9 |
27 | 12.2 |
28 | 11.6 |
29 | 10.5 |
30 | 10.9 |
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