Please help, studying for a test and having a hard time
1 answer:
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Answer:
(a)$67
(b)You are expected to win 56 Times
(c)You are expected to lose 44 Times
Step-by-step explanation:
The sample space for the event of rolling two dice is presented below
Total number of outcomes =36
The event of rolling a 5 or a 6 are:
Number of outcomes =20
Therefore:
P(rolling a 5 or a 6)
The probability distribution of this event is given as follows.
First, we determine the expected Value of this event.
Expected Value
Therefore, if the game is played 100 times,
Expected Profit =$0.67 X 100 =$67
If you play the game 100 times, you can expect to win $67.
(b)
Probability of Winning
If the game is played 100 times
Number of times expected to win
Therefore, number of times expected to loose
= 100-56
=44 times
The graph is shown below. I used GeoGebra to create the graph. The graph is restricted on the domain meaning that everything to the left of x = 0 is not drawn, and the same for everything to the right of x = 2.
A table of values is included as well. Each row in the table represents an ordered pair point (x,y) that is on the blue cosine graph.
