What is the highest value that X can take? This is Maximum(X).
What is the lowest value that X can take? This is Minimum(X).
So highest value of the expression = (Maximum(X)-Minimum(X))/(Maximum(X)-Minimum(X)) = 1
Lowest value of the expression = (Minimum(X)-Minimum(X))/(Maximum(X)-Minimum(X)) = 0
Therefore the range of Y is [0,1].
4. P(B) will be larger. The probability of both events occurring is lower than that of only one occurring.
5. Look up 'bubble sort' and how it works
10. The probability of getting Heads remains 1/2 as all the tosses are independent events
11. The statement is false. The minimum number of people required to guarantee this outcome is six.
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