How do you do this and what is the correct answer? Simple and concise explanation please!
1 answer:
Answer:
Step-by-step explanation:
- This is a neat question. I suggest that you graph it on desmos. You will lean a bunch by doing it. These are the graphs you should put on there.
- y = 1/(abs(x - a) - 1):In red
- When you use your down arrow, a new entry will be given you. You can use your mouse to operate the slider you get when you type a = 5
- so your next graph should be a = 5
- Use your down arrow again. Put in x = 4: Blue Line
- Use your down arrow again. Put in x = 6: Green Line
Be patient with this. Play with the sliders to see what they do. I believe you are correct, but I am not certain of the second union although it does look correct.
The graph I have enclosed is of what I have described in the steps above. Make sure you try it all out.
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Answer:
Probability that the average salary of the 400 players exceeded $1.1 million is 0.99999.
Step-by-step explanation:
We are given that one year, professional sports players salaries averaged $1.5 million with a standard deviation of $0.9 million.
Suppose a sample of 400 major league players was taken.
<em>Let </em><em> = sample average salary</em>
The z-score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = mean salary = $1.5 million
= standard deviation = $0.9 million
n = sample of players = 400
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
So, probability that the average salary of the 400 players exceeded $1.1 million is given by = P( > $1.1 million)
P( > $1.1 million) = P(
>
) = P(Z > -8.89) = P(Z < 8.89)
<em>Now, in the z table the maximum value of which probability area is given is for critical value of x = 4.40 as 0.99999. So, we can assume that the above probability also has an area of 0.99999 or nearly close to 1.</em>
Therefore, probability that the average salary of the 400 players exceeded $1.1 million is 0.99999.