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The time it takes a randomly selected rat to complete a maze is normally distributed with...

The time it takes a randomly selected rat to complete a maze is normally distributed with mean 1.5 minutes and standard deviation 0.35 minutes.

(a) Find the probability that a randomly selected rat spends longer than 1.6 minutes to complete it.

(b) We randomly take a sample of 100 rats. Find the probability that the average completion time for the sampled rats is smaller than 1.6 minutes.

(c) We randomly take a sample of 4 rats. Find the probability that the total completion time for the sampled rats together is greater than 7 minutes.

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