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Hi, I am having trouble working through the methodology of this question, please help Question 3 {2i} marks] {a} In a local Takeaway restaurant usually

Hi, I am having trouble working through the methodology of this question, please help

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Question 3 {2i} marks] {a} In a local Takeaway restaurant usually I5 out of every 15 customers ask for a Coca Cola drink with their meal. ff random sample of 25 customers is selected, then calculate the probability that at least 1 customer asks for a Coca Cola with their meal. {3 marks} {b} During a typical business hour of that local Takeaway restaurant, an ayerage of 5 customers ask for water with their meal. i. If X is dened as the number of customers that ask for water, state the distribution of ill. [1 monk} ii. Calculate the probability that more than 1 customer will ask for water with the meal in a giyen business hour. {3 marks} {c} This Takeaway restaurant's special cream soup is 1trery popular with its customers. Suppose the standard serying yolume of cream soup dish follows a normal distribution with a mean of 35!] millilitres and a standard deyiation of 1{] millilitres. i. Calculate the probability that the 1urolume of a randomly chosen cream soup dish will be more than 36C! millilitres. {4 marks} ii. If a customer orders four cream soup dishes for her family, then calculate the probability that the mean yolume of those four soup dishes will be more than 350 millilitres. {4 marks} iii. Why are the probabilities in part i. and part ii. different? Justify your answer. {2 marks} {d} The time between failure of a particular make and model of LED light is known to follow an exponential distribution. Once the LED light is installed in that Takeaway restaurant and is found to be operating correctly then the failure rate is on ayerage 1 per LBW hours of lighting time. Calculate the probability that a newly installed and correctly operating LED light in the Takeaway restaurant will operate for at most anon hours before its failure. [3 marks}

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