Limit of (x^2-9)/(2x^2+7x+3) when x is -3

Assume that the number of messages input to a communication channel in an Exponential distribution with 7 messages arriving in a

NARA [144]

The probability that more than 3 messages will arrive during a 30-second interval is $P(X=n)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^n}{n!}$ .

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:

$P(X=1)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^1}{1!}\\P(X=2)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^2}{2!}\\P(X=3)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^3}{3!}\\$

And then substitute the values in it then

$Probability = \dfrac{e^{-0.3 \times 20} (0.3 \times 20)^1}{1!}\ +\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^2}{2!}\ + \dfrac{e^{-0.3 \times 20} (0.3 \times 20)^3}{3!}\\$

This is the probability.

So, The probability that more than 3 messages will arrive during a 30-second interval is $P(X=n)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^n}{n!}$ .

Learn more about probability here

brainly.com/question/24756209

#SPJ4

7 0

2 years ago

8y - 3y Combining like terms

Alchen [17]

Answer:

5y

Step-by-step explanation:

subtract 8 from 3

8 0

3 years ago

Read 2 more answers

Two numbers are consecutive integers. Six times the smaller integer equals three times the greater integer. Find the integers

Oduvanchick [21]

Sorry can’t help I wish I court could opt mrlrnrk is the year or

3 0

3 years ago

Will give first person to answer brainliest!! At a local baseball game, tickets cost $4 for adults and $2 for students. If there

S_A_V [24]

Answer:

let x adult and y student attended

x+y= 94

x=94-y

again

4x+2y = 294 53 adults and 41 student attended

376-4y+2y =294 the event

2y =82

y=41

substituting the value of y in

x+y =94

x= 94-41 = 53

Step-by-step explanation:

8 0

2 years ago

The quotient is 71 2/3 what is the divisor

Genrish500 [490]

The divisor is 3.
It is 3 because to make the whole number and the remainder a mixed number you take the whole number then for the numerator you write what is left over(remainder) and for the denominator you will write the divisor. In this case the denominator is 3 so the divisor is 3.

Hope I helped ! :D

4 0

3 years ago