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Sagot :
Answer:
(a) Normal model
[tex](b)\ Mean = 0.58[/tex]
[tex](c)\ \sigma = 0.0165[/tex]
Step-by-step explanation:
Given
[tex]p = 58\%[/tex]
[tex]n = 900[/tex]
Solving (a): The distribution type
The sample follows a normal model
Solving (b): The mean
This is calculated as:
[tex]Mean = p[/tex]
So, we have:
[tex]Mean = 58\%[/tex]
Express as decimal
[tex]Mean = 0.58[/tex]
Solving (c): The standard deviation
This is calculated as:
[tex]\sigma = \sqrt{\frac{p(1 - p)}{n}}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{58\%(1 - 58\%)}{900}}[/tex]
Express as decimals
[tex]\sigma = \sqrt{\frac{0.58(1 - 0.58)}{900}}[/tex]
[tex]\sigma = \sqrt{\frac{0.58 * 0.42}{900}}[/tex]
[tex]\sigma = \sqrt{\frac{0.2436}{900}}[/tex]
[tex]\sigma = \sqrt{0.00027066666}[/tex]
[tex]\sigma = 0.0165[/tex]
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