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maw [93]
3 years ago
8

What is the significance of the mean of a probability​ distribution?

Mathematics
1 answer:
VikaD [51]3 years ago
4 0

Answer:

Significance of the mean of a probability​ distribution.          

Step-by-step explanation:

  • The mean of a probability distribution is the arithmetic average value of a random variable having that distribution.
  • For a discrete probability distribution, the mean is given by, \sum x_iP(x_i), where P(x) is the probabiliy mass function.
  • For a continuous probability distribution, the mean s given by, E(x) = \int x_if(x_i), where f(x) is the probability density function.
  • Mean is a measure of central location of a random variable.
  • It is the weighted average of the values that X can take, with weights given by the probability density function.
  • The mean is known as  expected value or expectation of X.
  • An important consequence of this is that the mean of any symmetric random variable (continuous or discrete) is always on the axis of symmetry of the distribution.
  • For a continuous random variable, the mean is always on the axis of symmetry of the probability density function.
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Find f(3) and interpret its meaning.
anyanavicka [17]

Answer:

f(3) = 425

f(3) is the elevation of a mountain climber after 3 hours of climbing.

Step-by-step explanation:

So we are given a line that relates time to elevation. We are also given that the equation of the line is f(x) = 125x + 50. From looking at the graph given, we can see that x is the time, in hours, and y, or f(x), is the height, in feet. We are asked to find f(3) and interpret it's meaning.

To find f(3), we would have to find what f(x) is when x = 3. To do this, lets plug in 3 for x into the given equation:

f(3) = 125(3) + 50 = 425

So f(3) = 425. Now, we already know that x is the time in hours and y, or f(x), is the elevation in feet. We set x to 3 when solving for f(3). We have also found that f(3), or y when x = 3, is 425. So f(3), or 425, is the elevation after 3 hours.

I hope you find my answer and explanation to be helpful. Happy studying.

7 0
3 years ago
1. Which diagram shows the construction of a 45° angle
Anni [7]

Answer:

The answer is A.

Step-by-step explanation:

I pirnt the picture out and grabbed a ruler and started looking for the answer and If you look at A. with a ruler you can tell that it is a 45° angle.

5 0
3 years ago
Please answer this correctly
Hoochie [10]

Answer:

3:48 P.M

because you add all the number making sure it's not greater than 60 and carry over to the next hour if it is

3 0
3 years ago
Read 2 more answers
Suppose that events a and b are mutually exclusive with p(a) = ½ and p(b) = ⅓.
irina1246 [14]
No, a & b are not independent if they're mutually exclusive.

Mutually exclusive means the two events cannot occur simultaneously. So if "a" happens "b" cannot. In contrast, two events are independent if the occurrence of one has no effect on the occurrence of the other.



4 0
3 years ago
65yards and 2feet equall hiw many feet
Black_prince [1.1K]
We know that 1 yard equals 3 feet, therefore, we have:
65(3) + 2
=  195 + 2
= 197
therefore, 65 yards and 2 feet equals 197 feet
5 0
3 years ago
Read 2 more answers
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