A drinks machine dispenses lemonade into cups. It is electronically controlled to cut off the flow of lemonade randomly

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A drinks machine dispenses lemonade into cups. It is electronically controlled to cut off the flow of lemonade randomly

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A Drinks Machine Dispenses Lemonade Into Cups It Is Electronically Controlled To Cut Off The Flow Of Lemonade Randomly 1
A Drinks Machine Dispenses Lemonade Into Cups It Is Electronically Controlled To Cut Off The Flow Of Lemonade Randomly 1 (26.31 KiB) Viewed 22 times
A drinks machine dispenses lemonade into cups. It is electronically controlled to cut off the flow of lemonade randomly between 180 ml and 200 ml. The random variable X is the volume of lemonade dispensed into a cup (a) Specify the probability density function of X and sketch its graph. (4 marks) (b) Find the probability that the machine dispenses: (i) less than 183 ml. (2 marks) (ii) exactly 183 ml. (2 marks) (c) Calculate the inter-quartile range of X. (6 marks) (d) Determine the value of x such that P(X2 x) = 2P(X <x) (6 marks)
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