Your neighborhood gym tracked how many days
2 answers:
The correct interpretation of the standard deviation of the given discrete distribution is:
The mean number of days a member worked out would typically be about 1.6764 from the expected number of days.
<h3>What are the mean and the standard deviation of a discrete distribution?</h3>- The mean of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
- The standard deviation is the square root of the sum of the difference squared between each outcome and the mean, multiplied by it's respective probabilities.
Hence:
E(X) = 0.4(0) + 0.12(1) + 0.13(2) + 0.15(3) + 0.06(4) + 0.02(5) + 0.02(6) + 0.01(7) = 1.36
Hence the correct option is:
The mean number of days a member worked out would typically be about 1.6764 from the expected number of days.
More can be learned about discrete distributions at brainly.com/question/24855677
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Answer:
Domain: (-∞, ∞) or All Real Numbers
Range: (0, ∞)
Asymptote: y = 0
As x ⇒ -∞, f(x) ⇒ 0
As x ⇒ ∞, f(x) ⇒ ∞
Step-by-step explanation:
The domain is talking about the x values, so where is x defined on this graph? That would be from -∞ to ∞, since the graph goes infinitely in both directions.
The range is from 0 to ∞. This where all values of y are defined.
An asymptote is where the graph cannot cross a certain point/invisible line. A y = 0, this is the case because it is infinitely approaching zero, without actually crossing. At first, I thought that x = 2 would also be an asymptote, but it is not, since it is at more of an angle, and if you graphed it further, you could see that it passes through 2.
The last two questions are somewhat easy. It is basically combining the domain and range. However, I like to label the graph the picture attached to help even more.
As x ⇒ -∞, f(x) ⇒ 0
As x ⇒ ∞, f(x) ⇒ ∞
