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The professor said X is 1 but still do not understand about the step of this question can you please help ?? 4. (a) The

The professor said X is 1

but still do not understand about the step of this question

can you please help ??

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4. (a) The height of \"CokaKola\" soft drink cans are normally distributed with mean 3.7 centimeters and a standard deviation of 0.3 centimeter. i. Find the probability that a randOmly selected CokaKola can has the height below 3.55 centimeter. (4 marks) ii. Suppose that a CokaKola can is called \" defective\" if it has height below 3.55 centimeter or above 3.95 centimeter. Find the probability that in a sample of 10 randomly selected metal pieces, there are less than 3 defective CokaKola cans. (6 marks) iii. Using the normal approximatiOn to the binomial distribution, estimate the probability that out of 110 randOmly selected cans of CokaKola, more than 25 of them will have height above 3.950m? (5 marks) (b) Suppose that, on average, the number of car accidents in Hong Kong are 6 per day (which has 24 hours). i. Determine the probability that at least X accidents will occur in 12 hour period. (4 marks) ii. In a two days, if there were 8 car accidents in Heng Keng, what is the probability that 2 accidents have occurred in the rst 12 hours of the two days? (6 marks)

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