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Let us look at the difference between modal value and expected value. We shall start by saying they are different, albeit close. Modal value refers to the mode, that is, the value that has the [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Let X denote the number of red sweets in a small packet of 10 [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Firstly, the number of different friends is a fixed constant. [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Firstly, the probability that a voter supports the Alliance party is [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Let X denote the number of batteries with lifetime of at least 100 [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Let X denote the mass of food content in a type A packet, in grams [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (a) Let X be the number of cakes containing fruit, out of 6. (b) [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Firstly, the probability of picking a free gift is constant. [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Let . (ii) Let . Since is large, approximately. by continuity [...]