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问题1[14分]a）平均每天向公司的总机发送2.5份错误报告。i、 命名此问题中存在的随机变量，并说明其分布。[2] 计算II。周一[2]将发布四份错误报告。在一周5天的工作时间内，错误报告不到3次[4]b）无网球员在比赛中尝试射门的次数可以用二项分布建模，成功概率等于0.35。。。
Task:
Question 1 [14 marks]a) On average 2.5 faulty reports are made to a company’s switchboard per day. i. Name the random variable present in this problem and state its distribution. [2] Calculate the probability thatii. FOUR faulty reports will be made on Monday [2]iii. Less than 3 faulty reports in a 5-day work week [4]b) The number of attempts at shooting goals made by a netballer in a tournament can be modelled by a binomial distribution with a probability of success equal to 0.35 ...
Task:
Question 1 [14 marks]
a) On average 2.5 faulty reports are made to a company’s switchboard per day.
i. Name the random variable present in this problem and state its distribution. [2] Calculate the probability that
ii. FOUR faulty reports will be made on Monday [2]
iii. Less than 3 faulty reports in a 5-day work week [4]
b) The number of attempts at shooting goals made by a netballer in a tournament can be modelled by a binomial distribution with a probability of success equal to 0.35.
(i) In a sample of 12 attempts at shooting goals, calculate the probability that EXACTLY 4 were successful. [4]
(ii) Given that the netballer made a total of 120 attempts at shooting goals in a tournament, calculate the expected number of successful shoots.
Question 2 [21 marks]
a) A machine is set to produce disc plates with a mean diameter of 14 mm. A sample of 8 discs gave a mean diameter,
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