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A conference gives marker pens whose diameters are normally distributed with mean and standard deviation of 10 cm and 0.1 cm respectively to the participants.

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A conference gives marker pens whose diameters are normally distributed with mean and standard deviation of 10 cm and 0.1 cm respectively to the participants. (i) If a marker pen is chosen at random, find the probability that its diameter is less than 9.79 cm. (ii) If the conference gives 200 marker pens on that day, find the number of marker pens that have diameters exceeding 10.15 cm. (iii) Find the percentage of marker pens with diameters between 9.80 cm and 10.05 cm

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