The heights of certain flowers follow a normal distribution. It is known that 20% of these flowers h

Question

The heights of certain flowers follow a normal distribution. It is known that 20% of these flowers have a height less than 3 cm and 10% have a height greater than 8 cm. Find the value of the mean $m$ and the standard deviation $\sigma$.

Accepted Answer

Using $z_{0.2}=-0.8416$ and $z_{0.9}=1.2816$ gives $\sigma=2.35$ cm and $\mu=4.98$ cm.

Determine a normal mean and standard deviation from two percentile conditions.

Determine a normal mean and standard deviation from two percentile conditions.

Solution:

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