Alice and Bob are playing a game. Alice starts first. On Alice's turn, she flips a coin. If she gets a heads, she wins. If not,
1 answer:
Answer:
The probability that Alice wins the game=
Step-by-step explanation:
We are given that Alice and Bob are playing a game .
We have to find the probability that Alice wins the game .
If Alice win when she gets head and lose when she gets tail.Bob wins when she gets tail and she lose when she gets head.
Total results in a coin=Head, tail=2
Number of head in a coin=1
Number of tail in a coin= 1
Probability is defined as the possibility of an event that occurred
The probability that Alice wins the game=
The probability that Alice wins the game=
The probability that Alice wins the game=
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Answer:
a) 96% CI:
b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.
Step-by-step explanation:
The proportion of the sample is
The standard deviation of the sample proportion is
For a 96% CI, the z-value is z=1.751.
Then, the 96% CI can be written as:
b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.
Answer:
Step-by-step explanation:
To write an equation, use the slope-intercept equation:
M is the slope and b is the y-intercept.
First, find the slope by using the slope formula for when you have two points:
Rise over run is the change in the y-axis over the change in the x-axis. Substitute values:
Simplify parentheses (two negatives make a positive) and simplify:
The slope, m, is 4. Insert this information into the equation:
Now, take one of the points and insert into the slope-intercept formula:
Solve for b, the y-intercept. Simplify multiplication:
Add 20 to both sides and simplify:
The y-intercept, b, is 20. Insert this value into the equation:
Done.