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2 Answers

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$\mu = 2$

$\sigma^2 = 25$

$\sigma = 5$

$Z_1 =$$\large \frac{1 - 2}{5} = -0.2$

$Z_2 =$$\large \frac{4 - 2}{5} = 0.4$

$P (1 < X < 4) = \phi(0.4) - \phi (-0.2)$

$P (1 < X < 4) =  \phi(0.4) - (1 - \phi (0.2))  $

$P (1 < X < 4) = 0.6554  - (1 - 0.5793)$

$P (1 < X < 4) = 0.2347$
edited by
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–1 votes
Is it 0.024 ?

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