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Do areas within a continuous probability distribution represent probabilities?
yes.
Is in the normal distribution the total area beneath the curve represent the probability for all possible outcomes for a given event?
Yes. The total area under any probability distribution curve is always the probability of all possible outcomes - which is 1.
What is the difference between a probability and a fraction?
The probability is always a fraction except when it is 0 or 1. If a probability = 1 then it will definitely happen. If the probability is 0 then it will not happen. If you toss a fair coin the probability of heads is 1/2, and the probability of tails is 1/2. These fractions are representations of the probabilities. Not all fractions are representative of probabilities. Fractions can be used to represent a portion of a whole. Like what portion of a class is boys, and what portion is girls: If there are 8 boys and 7 girls, then the 8/15 of the class is boys, and 7/15 of the class is girls.
Can a pie chart represent who will go 1st 2nd 3rd or 4th in sequence?
No, but it can represent the probability of such an outcome.
Can the fraction 54 represent a probability?
Since 5/4 > 1, it cannot represent a probability of an event A, denoted by Pr(A), because for any event A, 0 ≤ Pr(A) ≤ 1. If A never occur, then Pr(A) = 0; if A always occur, then Pr(A) = 1.
