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A company that supplies ready-mix concrete receives, on average, six orders per day.

(a) What is the probability that, on a given day:

(i) only one order will be received?

(ii) no more than three orders will be received?

(iii) at least three orders will be received?

(b) What is the probability that, on a given half-day, only one order will be received? (Hint: Refer to the ‘word of caution' in section 5.4.)

(c) What is the mean and standard deviation of orders received per day?

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