Your answer is 5 because you divide
The probability that more than 3 messages will arrive during a 30-second interval is
.
According to the statement
we have given that the an Exponential distribution with 7 messages arriving in a 10 second period and we have to find the probability that more than 3 messages will arrive during a 30-second interval.
So, For this purpose, we know that the
The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.
And the given information is that :
3 messages will arrive during a 30-second interval.
Then
Probability = P(X=1) + P(X=2) + P(X=3).Then
The probability become according to the exponential distribution:

And then substitute the values in it then

This is the probability.
So, The probability that more than 3 messages will arrive during a 30-second interval is
.
Learn more about probability here
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Hey there! I'm happy to help!
Let's call this number n. Here is the info we can write about it. Remember that to write as a percent as a decimal you divide by 100.
n-0.16n=159.6
We combine like terms.
0.84n=159.6
We divide both sides by 0.84
n=190
Have a wonderful day! :D
Answer:

Step-by-step explanation:
The formula for the surface area of a cylinder is:

And we want to solve for the height h.
First, subtract
from both sides. This yields:

Now, divide both sides by
. This yields:

And we're done!
<h3>
Answer:</h3>
B. { (3, –2), (3, –4), (4, –1), (4, –3) }
<h3>
Step-by-step explanation:</h3>
Functions are a set of points that show how dependent variables change through independent variables.
Defining a Function
In functions, each x-value is assigned to exactly one y-value. This means that x-values do not repeat. So, if there is one x-value more than once in a set, then it cannot be a function.
For example, set B has the x-value 3 and 4 repeated twice. Thus, it does not represent a function.
Graph of a Function
Functions can also be defined through a graph. Just like with coordinate points, x-values do not repeat on the graph. You can use the vertical line test to see if a graph is a function. If you can draw a vertical line at every point on a graph without it ever intersecting with the graph more than once, then it is a function.