Joe wants to buy a pair of shoes. His shoe size is available in 4 designs and 5 colors in a particular shop. From how many combi
2 answers:
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Answer:
a) S = {1, 2, 3}
b) P(odd number) =
c) No
d) Yes
Step-by-step explanation:
a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}
However, the sample is not equiprobable because each element has different probabilities.
b) P(odd number) =
Note that the odd numbers are 1 (on three faces) and 3 (on one face).
c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.
d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:
Let's assume the probability for 1 or 2 is . Then that of 3 is
(because it is twice the others). The sum of probabilities must be 1.
P(odd number) = Prob(1) + Prob(3)
= =
and in case you recall your inverses, when f( g(x) ) = x, or g( f(x) ) = x, simply means, they're inverse of each other.
You would use the formula P(1+r/n)^nt=A I explained it in the picture and if the number is growing it is 1+r/n and if it’s not it is 1-r/n. Also if you don’t know the formula you can do it year by year which I also showed but it will take a long time and it’s easy to make a mistake. The answer would be A because if you plug the numbers into the formula you will get 4045.56 for plan b then you subtract 3000 and round, getting 1046. It is the formula of exponential growth/decay if you want to research further.
