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IAL 2023 June S2 Q7

A Level / Edexcel / S2

IAL 2023 June Paper · Question 7

题目

Problem

A bakery sells muffins individually at an average rate of 8 muffins per hour.

(a) Find the probability that, in a randomly selected one-hour period, the bakery sells at least 4 but not more than 8 muffins.

(3)

A sample of 5 non-overlapping half-hour periods is selected at random.

(b) Find the probability that the bakery sells fewer than 3 muffins in exactly 2 of these periods.

(5)

Given that 4 muffins were sold in a one-hour period, (c) find the probability that more muffins were sold in the first 15 minutes than in the last 45 minutes.

(4)

(Total for Question 7 is 12 marks)

题目中文翻译

一家面包店平均每小时单独售出 8 个松饼。

(a) 求在随机选取的一小时内,面包店售出至少 4 个但不超过 8 个松饼的概率。

随机选取 5 个互不重叠的半小时区间。

(b) 求在这 5 个时间段中,恰好有 2 个时间段里面包店售出少于 3 个松饼的概率。

已知在一小时内售出了 4 个松饼, (c) 求前 15 分钟售出的松饼数多于最后 45 分钟售出的概率。

(第 7 题共 12 分)

解答