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Worked Example 4 - Tim Gan Math | Student Portal

Worked Example 4

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The height of a species of plant has a normal distribution with mean $34$ cm and standard deviation of $\sqrt{78}$ cm. A random sample of $13$ plants is taken and the mean height is calculated. Find the probability that

(i)

The sample mean lies between $29$ cm and $35$ cm,

(ii)

$P\left( {{X}{1}}+{{X}{2}}+…+{{X}_{13}}>450\text{cm} \right)$

(i)
(ii)

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