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The lengths of certain snakes can be modelled by a normal distribution with mean 20 cm and variance 25 cm2. (a) Find the probability of

The lengths of certain snakes can be modelled by a normal distribution with mean 20 cm and variance 25 cm2.

(a) Find the probability of a randomly chosen snake with length less than 13 cm. (b) It is known that 60% of the snakes have lengths more than L cm. Find the value of L. (answer: (a) 0.0808, (b) 18.7335)

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