4 The weights of male leopards in a particular region are normally distributed with mean 55 kg and standard deviation 6 kg .
- Find the probability that a randomly chosen male leopard from this region weighs between 46 and 62 kg .
The weights of female leopards in this region are normally distributed with mean 42 kg and standard deviation \(\sigma \mathrm { kg }\). It is known that \(25 \%\) of female leopards in the region weigh less than 36 kg . - Find the value of \(\sigma\).
The distributions of the weights of male and female leopards are independent of each other. A male leopard and a female leopard are each chosen at random. - Find the probability that both the weights of these leopards are less than 46 kg .