Crates of tea should contain 200 kg, but it is known that 1 out of 45 crates,

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Crates of tea should contain 200 kg, but it is known that 1 out of 45 crates, on average, is underweight. A sample of 630 crates is selected at random.

a. Find the probability that more than 12 but fewer than 17 crates are underweight.

b. Given that more than 12 but fewer than 17 crates are underweight, find the probability that more than 14 crates are underweight.

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