N23-MATHAA-SL-TZ2-P2-Q9 [Q-C93E2]

A farmer is growing a field of wheat plants. The height, $H$ cm, of each plant can be modelled by a normal distribution with mean $\mu$ and standard deviation $\sigma$. It is known that $P(H<94.6)=0.288$ and $P(H>98.1)=0.434$.