Solution
[tex]\begin{gathered} \mu=3.3 \\ P(X
- Using a z-score calculator, or z-distribution table, we have:
- Using the Z-score formula, we can find the standard deviation as follows:
[tex]\begin{gathered} Z=\frac{X-\mu}{\sigma} \\ \\ 2.326=\frac{6-3.3}{\sigma} \\ \\ \therefore\sigma=\frac{6-3.3}{2.326} \\ \\ \sigma=1.1607910...\approx1.1607\text{ \lparen To 4 decimal places\rparen} \end{gathered}[/tex]
Answer
The standard deviation is 1.1607
