George invests $2000 in an account with an interest rate of 5%. Which best represents this?
1 answer:
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Answer: Expected value would be
Step-by-step explanation:
Since we have given that
Number of multiple choice question = 4
Number of true false questions = 2
Number of points for each multiple choice question = 3
Number of points for each true false question = 1
Number of choices in multiple choice = 5
Probability of getting correct answer in multiple choice question =
Probability of getting correct answer in true false question =
Expected value of the student's score on the test would be
Hence, expected value would be
Answer:
(a) I attached a photo with the diagram.
(b)
(c) 1/4
(d) 4
(e)
Step-by-step explanation:
(a) I attached a photo with the diagram.
(b) The easiest way to think about this part is in terms of combinatorics. Think about it like this.
To begin with, look at the three each level of the three represents a possible outcome of throwing the coin n-times. If you throw the coin 3 times at the end in total there are 8 possible outcomes. But The favorable outcomes are just 2.
1 - Your first outcome is HEADS and all the others are different except the last one.
2 - Your first outcome is TAILS and all the others are different except the last one.
Therefore the probability of the event is
(c)
P(X = 0) = 0 because it is not possible to have two consecutive tails or heads.
(d)
Remember that this is a geometric distribution therefore
, in this case
so
and
Also
(e)
This is a geometric distribution so its variance is
And using properties of variance
